10202121011200 has 96 divisors (see below), whose sum is σ = 25300876072770. Its totient is φ = 4080848076800.

The previous prime is 10202121011179. The next prime is 10202121011209. The reversal of 10202121011200 is 211012120201.

It can be written as a sum of positive squares in 3 ways, for example, as 9270417309696 + 931703701504 = 3044736^2 + 965248^2 .

It is not an unprimeable number, because it can be changed into a prime (10202121011209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5407681 + ... + 7046080.

Almost surely, 2^{10202121011200} is an apocalyptic number.

10202121011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121011200 is an abundant number, since it is smaller than the sum of its proper divisors (15098755061570).

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

10202121011200 is an frugal number, since it uses more digits than its factorization.

10202121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12453801 (or 12453768 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10202121011200 its reverse (211012120201), we get a palindrome (10413133131401).

The spelling of 10202121011200 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, eleven thousand, two hundred".