10122101012200 has 48 divisors (see below), whose sum is σ = 24918231029580. Its totient is φ = 3810673320960.

The previous prime is 10122101012189. The next prime is 10122101012227. The reversal of 10122101012200 is 221010122101.

10122101012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8139597588004 + 1982503424196 = 2852998^2 + 1408014^2 .

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, 1488540867 + ... + 1488547666.

Almost surely, 2^{10122101012200} is an apocalyptic number.

10122101012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122101012200 is an abundant number, since it is smaller than the sum of its proper divisors (14796130017380).

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

10122101012200 is a wasteful number, since it uses less digits than its factorization.

10122101012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977088566 (or 2977088557 counting only the distinct ones).

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

Adding to 10122101012200 its reverse (221010122101), we get a palindrome (10343111134301).

The spelling of 10122101012200 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, two hundred".