102112100001021 has 48 divisors (see below), whose sum is σ = 150293227069440. Its totient is φ = 61620960324000.

The previous prime is 102112100000993. The next prime is 102112100001031. The reversal of 102112100001021 is 120100001211201.

It is not a de Polignac number, because 102112100001021 - 2⁶ = 102112100000957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112100000988 and 102112100001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112100001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945857596 + ... + 945965546.

It is an arithmetic number, because the mean of its divisors is an integer number (3131108897280).

Almost surely, 2^{102112100001021} is an apocalyptic number.

102112100001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112100001021 is a deficient number, since it is larger than the sum of its proper divisors (48181127068419).

102112100001021 is a wasteful number, since it uses less digits than its factorization.

102112100001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119118 (or 119107 counting only the distinct ones).

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

Adding to 102112100001021 its reverse (120100001211201), we get a palindrome (222212101212222).

The spelling of 102112100001021 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, one thousand, twenty-one".