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101212200020022 = 237133736591369229
BaseRepresentation
bin10111000000110101001101…
…001110101010100000110110
3111021100210101020111212111120
4113000311031032222200312
5101231230041201120042
6555132124240044410
730214224445251630
oct2700651516524066
9437323336455446
10101212200020022
112a281942350943
12b427729003706
1344623671588c0
141adc9a7743a50
15ba7b6558adec
hex5c0d4d3aa836

101212200020022 has 128 divisors (see below), whose sum is σ = 255941291289600. Its totient is φ = 25964769148416.

The previous prime is 101212200020003. The next prime is 101212200020039. The reversal of 101212200020022 is 220020002212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212200019983 and 101212200020010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73234504 + ... + 74603732.

It is an arithmetic number, because the mean of its divisors is an integer number (1999541338200).

Almost surely, 2101212200020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212200020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127970645644800).

101212200020022 is an abundant number, since it is smaller than the sum of its proper divisors (154729091269578).

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

101212200020022 is a wasteful number, since it uses less digits than its factorization.

101212200020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372950.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101212200020022 its reverse (220020002212101), we get a palindrome (321232202232123).

The spelling of 101212200020022 in words is "one hundred one trillion, two hundred twelve billion, two hundred million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 3659 6734 7318 10101 10977 20202 21954 25613 47567 51226 76839 95134 135383 142701 153678 270766 285402 332969 406149 665938 812298 947681 998907 1369229 1759979 1895362 1997814 2738458 2843043 3519958 4107687 5279937 5686086 8215374 9584603 10559874 12319853 17799977 19169206 24639706 28753809 35599954 36959559 50661473 53399931 57507618 73919118 101322946 106799862 124599839 151984419 249199678 303968838 354630311 373799517 658599149 709260622 747599034 1063890933 1317198298 1975797447 2127781866 3951594894 4610194043 5010008911 9220388086 10020017822 13830582129 15030026733 27661164258 30060053466 35070062377 65130115843 70140124754 105210187131 130260231686 185370329707 195390347529 210420374262 370740659414 390780695058 455910810901 556110989121 911821621802 1112221978242 1297592307949 1367732432703 2409814286191 2595184615898 2735464865406 3892776923847 4819628572382 7229442858573 7785553847694 14458885717146 16868700003337 33737400006674 50606100010011 101212200020022