10120202012200 has 96 divisors (see below), whose sum is σ = 27006234615360. Its totient is φ = 3454891660800.

The previous prime is 10120202012143. The next prime is 10120202012203. The reversal of 10120202012200 is 221020202101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10120202012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15186066 + ... + 15838465.

It is an arithmetic number, because the mean of its divisors is an integer number (281314943910).

Almost surely, 2^{10120202012200} is an apocalyptic number.

10120202012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120202012200 is an abundant number, since it is smaller than the sum of its proper divisors (16886032603160).

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

10120202012200 is a wasteful number, since it uses less digits than its factorization.

10120202012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31024787 (or 31024778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10120202012200 its reverse (221020202101), we get a palindrome (10341222214301).

The spelling of 10120202012200 in words is "ten trillion, one hundred twenty billion, two hundred two million, twelve thousand, two hundred".