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101202210120220 = 225112157293909091
BaseRepresentation
bin10111000000101011111001…
…110010001110001000011100
3111021022211121000202101020121
4113000223321302032020130
5101231044111242321340
6555123353053524324
730213422052434416
oct2700537162161034
9437284530671217
10101202210120220
112a278686305300
12b4257bb4a36a4
1344614345967a1
141adc2daa8d9b6
15ba777d52594a
hex5c0af9c8e21c

101202210120220 has 144 divisors (see below), whose sum is σ = 235891984888224. Its totient is φ = 36441563558400.

The previous prime is 101202210120203. The next prime is 101202210120241. The reversal of 101202210120220 is 22021012202101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101202210120194 and 101202210120203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110867875 + ... + 111776965.

It is an arithmetic number, because the mean of its divisors is an integer number (1638138783946).

Almost surely, 2101202210120220 is an apocalyptic number.

101202210120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202210120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117945992444112).

101202210120220 is an abundant number, since it is smaller than the sum of its proper divisors (134689774768004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101202210120220 is a wasteful number, since it uses less digits than its factorization.

101202210120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909572 (or 909559 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101202210120220 its reverse (22021012202101), we get a palindrome (123223222322321).

The spelling of 101202210120220 in words is "one hundred one trillion, two hundred two billion, two hundred ten million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 157 220 242 293 314 484 586 605 628 785 1172 1210 1465 1570 1727 2420 2930 3140 3223 3454 5860 6446 6908 8635 12892 16115 17270 18997 32230 34540 35453 37994 46001 64460 70906 75988 92002 94985 141812 177265 184004 189970 230005 354530 379940 460010 506011 709060 909091 920020 1012022 1818182 2024044 2530055 3636364 4545455 5060110 5566121 9090910 10000001 10120220 11132242 18181820 20000002 22264484 27830605 40000004 50000005 55661210 100000010 110000011 111322420 142727287 200000020 220000022 266363663 285454574 440000044 532727326 550000055 570909148 713636435 1065454652 1100000110 1331818315 1427272870 1570000157 2200000220 2663636630 2854545740 2930000293 3140000314 5327273260 5860000586 6280000628 7850000785 11720001172 14650001465 15700001570 17270001727 29300002930 31400003140 32230003223 34540003454 41819095091 58600005860 64460006446 69080006908 83638190182 86350008635 128920012892 161150016115 167276380364 172700017270 209095475455 322300032230 345400034540 418190950910 460010046001 644600064460 836381901820 920020092002 1840040184004 2300050230005 4600100460010 5060110506011 9200200920020 10120221012022 20240442024044 25300552530055 50601105060110 101202210120220