10102012122120 has 64 divisors (see below), whose sum is σ = 30527248360320. Its totient is φ = 2674206610944.

The previous prime is 10102012122091. The next prime is 10102012122143. The reversal of 10102012122120 is 2122121020101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102012122120.

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, 307222372 + ... + 307255251.

It is an arithmetic number, because the mean of its divisors is an integer number (476988255630).

Almost surely, 2^{10102012122120} is an apocalyptic number.

10102012122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102012122120 is an abundant number, since it is smaller than the sum of its proper divisors (20425236238200).

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

10102012122120 is a wasteful number, since it uses less digits than its factorization.

10102012122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614477774 (or 614477770 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102012122120 its reverse (2122121020101), we get a palindrome (12224133142221).

The spelling of 10102012122120 in words is "ten trillion, one hundred two billion, twelve million, one hundred twenty-two thousand, one hundred twenty".