102001012120 has 64 divisors (see below), whose sum is σ = 271332763200. Its totient is φ = 33765849600.

The previous prime is 102001012103. The next prime is 102001012301. The reversal of 102001012120 is 21210100201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102001012097 and 102001012106.

It is a congruent number.

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, 6272731 + ... + 6288970.

It is an arithmetic number, because the mean of its divisors is an integer number (4239574425).

Almost surely, 2^102001012120 is an apocalyptic number.

102001012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001012120 is an abundant number, since it is smaller than the sum of its proper divisors (169331751080).

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

102001012120 is a wasteful number, since it uses less digits than its factorization.

102001012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12561748 (or 12561744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102001012120 its reverse (21210100201), we get a palindrome (123211112321).

The spelling of 102001012120 in words is "one hundred two billion, one million, twelve thousand, one hundred twenty".