10022121011200 has 72 divisors (see below), whose sum is σ = 24848792153640. Its totient is φ = 4008848384000.

The previous prime is 10022121011179. The next prime is 10022121011263. The reversal of 10022121011200 is 211012122001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97821076 + ... + 97923475.

It is an arithmetic number, because the mean of its divisors is an integer number (345122113245).

Almost surely, 2^{10022121011200} is an apocalyptic number.

10022121011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022121011200 is an abundant number, since it is smaller than the sum of its proper divisors (14826671142440).

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

10022121011200 is an equidigital number, since it uses as much as digits as its factorization.

10022121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195744583 (or 195744558 counting only the distinct ones).

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

Adding to 10022121011200 its reverse (211012122001), we get a palindrome (10233133133201).

The spelling of 10022121011200 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, eleven thousand, two hundred".