102121111020000 has 120 divisors (see below), whose sum is σ = 334977668564616. Its totient is φ = 27232296256000.

The previous prime is 102121111019989. The next prime is 102121111020011. The reversal of 102121111020000 is 20111121201.

It is an interprime number because it is at equal distance from previous prime (102121111019989) and next prime (102121111020011).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 850949259 + ... + 851069258.

Almost surely, 2^{102121111020000} is an apocalyptic number.

102121111020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121111020000 is an abundant number, since it is smaller than the sum of its proper divisors (232856557544616).

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

102121111020000 is an equidigital number, since it uses as much as digits as its factorization.

102121111020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702018550 (or 1702018527 counting only the distinct ones).

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

Adding to 102121111020000 its reverse (20111121201), we get a palindrome (102141222141201).

The spelling of 102121111020000 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred eleven million, twenty thousand".