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102220012101020 = 225111133714098371
BaseRepresentation
bin10111001111011111110011…
…100000101001110110011100
3111101221010201101202010110212
4113033133303200221312130
5101344233041044213040
61001223120354351552
730350103122511212
oct2717376340516634
9441833641663425
10102220012101020
112a630299a62920
12b56ab0b28b5b8
1345063c8a50078
141b356914d8cb2
15bc3e9ca7cd65
hex5cf7f3829d9c

102220012101020 has 48 divisors (see below), whose sum is σ = 234178877713536. Its totient is φ = 37170576552000.

The previous prime is 102220012100989. The next prime is 102220012101089. The reversal of 102220012101020 is 20101210022201.

It is a junction number, because it is equal to n+sod(n) for n = 102220012100986 and 102220012101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22892435 + ... + 26990805.

It is an arithmetic number, because the mean of its divisors is an integer number (4878726619032).

Almost surely, 2102220012101020 is an apocalyptic number.

102220012101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220012101020 is an abundant number, since it is smaller than the sum of its proper divisors (131958865612516).

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

102220012101020 is a wasteful number, since it uses less digits than its factorization.

102220012101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211762 (or 4211760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102220012101020 its reverse (20101210022201), we get a palindrome (122321222123221).

The spelling of 102220012101020 in words is "one hundred two trillion, two hundred twenty billion, twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 113371 226742 453484 566855 1133710 1247081 2267420 2494162 4098371 4988324 6235405 8196742 12470810 16393484 20491855 24941620 40983710 45082081 81967420 90164162 180328324 225410405 450820810 901641620 464636418641 929272837282 1858545674564 2323182093205 4646364186410 5111000605051 9292728372820 10222001210102 20444002420204 25555003025255 51110006050510 102220012101020