102121122002120 has 64 divisors (see below), whose sum is σ = 248703412169520. Its totient is φ = 37514858056704.

The previous prime is 102121122002111. The next prime is 102121122002227. The reversal of 102121122002120 is 21200221121201.

It can be written as a sum of positive squares in 8 ways, for example, as 35778174768196 + 66342947233924 = 5981486^2 + 8145118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498341147 + ... + 498546026.

Almost surely, 2^{102121122002120} is an apocalyptic number.

102121122002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121122002120 is an abundant number, since it is smaller than the sum of its proper divisors (146582290167400).

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

102121122002120 is a wasteful number, since it uses less digits than its factorization.

102121122002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996887394 (or 996887390 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102121122002120 its reverse (21200221121201), we get a palindrome (123321343123321).

The spelling of 102121122002120 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-two million, two thousand, one hundred twenty".