102120120002120 has 64 divisors (see below), whose sum is σ = 251021224549440. Its totient is φ = 37080848620800.

The previous prime is 102120120002119. The next prime is 102120120002129. The reversal of 102120120002120 is 21200021021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120120002095 and 102120120002104.

It is not an unprimeable number, because it can be changed into a prime (102120120002129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167634587 + ... + 168242666.

It is an arithmetic number, because the mean of its divisors is an integer number (3922206633585).

Almost surely, 2^{102120120002120} is an apocalyptic number.

102120120002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120120002120 is an abundant number, since it is smaller than the sum of its proper divisors (148901104547320).

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

102120120002120 is a wasteful number, since it uses less digits than its factorization.

102120120002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335877966 (or 335877962 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120120002120 its reverse (21200021021201), we get a palindrome (123320141023321).

The spelling of 102120120002120 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty million, two thousand, one hundred twenty".