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102120000212021 = 1125937431915499
BaseRepresentation
bin10111001110000010101010…
…010101100100110000110101
3111101120120120101201202120212
4113032002222111210300311
5101341113230023241041
61001105140324435205
730336632542465001
oct2716025225446065
9441516511652525
10102120000212021
112a5a1937947400
12b553659548b05
1344c9b4a93a01c
141b308c4a61701
15bc15977958eb
hex5ce0aa564c35

102120000212021 has 24 divisors (see below), whose sum is σ = 112588278264000. Its totient is φ = 92555024481920.

The previous prime is 102120000211993. The next prime is 102120000212059. The reversal of 102120000212021 is 120212000021201.

It is a de Polignac number, because none of the positive numbers 2k-102120000212021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102120000211987 and 102120000212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120000112021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52354730 + ... + 54270228.

It is an arithmetic number, because the mean of its divisors is an integer number (4691178261000).

Almost surely, 2102120000212021 is an apocalyptic number.

102120000212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102120000212021 is a deficient number, since it is larger than the sum of its proper divisors (10468278051979).

102120000212021 is a wasteful number, since it uses less digits than its factorization.

102120000212021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916857 (or 1916846 counting only the distinct ones).

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

Adding to 102120000212021 its reverse (120212000021201), we get a palindrome (222332000233222).

The spelling of 102120000212021 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve thousand, twenty-one".

Divisors: 1 11 121 593 743 6523 8173 71753 89903 440599 1915499 4846589 21070489 53312479 231775379 1135890907 1423215757 12494799977 15655373327 137442799747 172209106597 843966943901 9283636382911 102120000212021