10202121111200 has 72 divisors (see below), whose sum is σ = 24909322381020. Its totient is φ = 4080292300800.

The previous prime is 10202121111191. The next prime is 10202121111229. The reversal of 10202121111200 is 211112120201.

It can be written as a sum of positive squares in 6 ways, for example, as 8591018929936 + 1611102181264 = 2931044^2 + 1269292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5029910 + ... + 6760490.

Almost surely, 2^{10202121111200} is an apocalyptic number.

10202121111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121111200 is an abundant number, since it is smaller than the sum of its proper divisors (14707201269820).

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

10202121111200 is a wasteful number, since it uses less digits than its factorization.

10202121111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737970 (or 1737957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10202121111200 its reverse (211112120201), we get a palindrome (10413233231401).

The spelling of 10202121111200 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".