102121101100020 has 96 divisors (see below), whose sum is σ = 296361361296000. Its totient is φ = 26253200438784.

The previous prime is 102121101099959. The next prime is 102121101100027. The reversal of 102121101100020 is 20001101121201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102121101099969 and 102121101100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121101100027) 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, 210769470 + ... + 211253429.

It is an arithmetic number, because the mean of its divisors is an integer number (3087097513500).

Almost surely, 2^{102121101100020} is an apocalyptic number.

102121101100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121101100020 is an abundant number, since it is smaller than the sum of its proper divisors (194240260195980).

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

102121101100020 is a wasteful number, since it uses less digits than its factorization.

102121101100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422023057 (or 422023055 counting only the distinct ones).

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

Adding to 102121101100020 its reverse (20001101121201), we get a palindrome (122122202221221).

The spelling of 102121101100020 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one million, one hundred thousand, twenty".