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101020110101220 = 22354146388693489
BaseRepresentation
bin10110111110000010010011…
…110001110001101011100100
3111020200102120011102221111110
4112332002103301301223210
5101220103141141214340
6554503555314305020
730164314334011062
oct2676022361615344
9436612504387443
10101020110101220
112a20842a621832
12b3b645a588170
13444a20385885b
141ad3584001032
15ba2b7179e680
hex5be093c71ae4

101020110101220 has 96 divisors (see below), whose sum is σ = 290381067164160. Its totient is φ = 26224890531840.

The previous prime is 101020110101191. The next prime is 101020110101269. The reversal of 101020110101220 is 22101011020101.

101020110101220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010201101012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101020110101196 and 101020110101205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43207765 + ... + 45485724.

It is an arithmetic number, because the mean of its divisors is an integer number (3024802782960).

Almost surely, 2101020110101220 is an apocalyptic number.

101020110101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020110101220 is an abundant number, since it is smaller than the sum of its proper divisors (189360957062940).

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

101020110101220 is a wasteful number, since it uses less digits than its factorization.

101020110101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88694005 (or 88694003 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101020110101220 its reverse (22101011020101), we get a palindrome (123121121121321).

The spelling of 101020110101220 in words is "one hundred one trillion, twenty billion, one hundred ten million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 463 492 615 820 926 1230 1389 1852 2315 2460 2778 4630 5556 6945 9260 13890 18983 27780 37966 56949 75932 94915 113898 189830 227796 284745 379660 569490 1138980 88693489 177386978 266080467 354773956 443467445 532160934 886934890 1064321868 1330402335 1773869780 2660804670 3636433049 5321609340 7272866098 10909299147 14545732196 18182165245 21818598294 36364330490 41065085407 43637196588 54546495735 72728660980 82130170814 109092991470 123195256221 164260341628 205325427035 218185982940 246390512442 410650854070 492781024884 615976281105 821301708140 1231952562210 1683668501687 2463905124420 3367337003374 5051005505061 6734674006748 8418342508435 10102011010122 16836685016870 20204022020244 25255027525305 33673370033740 50510055050610 101020110101220