102120000102021 has 32 divisors (see below), whose sum is σ = 150085754781696. Its totient is φ = 61246715400000.

The previous prime is 102120000102017. The next prime is 102120000102047. The reversal of 102120000102021 is 120201000021201.

It is not a de Polignac number, because 102120000102021 - 2² = 102120000102017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102120000101988 and 102120000102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120000102091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349461 + ... + 14354826.

It is an arithmetic number, because the mean of its divisors is an integer number (4690179836928).

Almost surely, 2^{102120000102021} is an apocalyptic number.

102120000102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102120000102021 is a deficient number, since it is larger than the sum of its proper divisors (47965754679675).

102120000102021 is a wasteful number, since it uses less digits than its factorization.

102120000102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15706353.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120000102021 its reverse (120201000021201), we get a palindrome (222321000123222).

The spelling of 102120000102021 in words is "one hundred two trillion, one hundred twenty billion, one hundred two thousand, twenty-one".