10200100122120 has 64 divisors (see below), whose sum is σ = 30664184256000. Its totient is φ = 2714348131328.

The previous prime is 10200100122083. The next prime is 10200100122137. The reversal of 10200100122120 is 2122100100201.

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 = 10200100122096 and 10200100122105.

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, 88669905 + ... + 88784864.

It is an arithmetic number, because the mean of its divisors is an integer number (479127879000).

Almost surely, 2^{10200100122120} is an apocalyptic number.

10200100122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200100122120 is an abundant number, since it is smaller than the sum of its proper divisors (20464084133880).

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

10200100122120 is a wasteful number, since it uses less digits than its factorization.

10200100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177455262 (or 177455258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200100122120 its reverse (2122100100201), we get a palindrome (12322200222321).

The spelling of 10200100122120 in words is "ten trillion, two hundred billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".