10102111202200 has 24 divisors (see below), whose sum is σ = 23487408545580. Its totient is φ = 4040844480800.

The previous prime is 10102111202189. The next prime is 10102111202203. The reversal of 10102111202200 is 220211120101.

10102111202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10102111202200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102111202203) 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, 25255277806 + ... + 25255278205.

Almost surely, 2^{10102111202200} is an apocalyptic number.

10102111202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102111202200 is an abundant number, since it is smaller than the sum of its proper divisors (13385297343380).

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

10102111202200 is a wasteful number, since it uses less digits than its factorization.

10102111202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50510556027 (or 50510556018 counting only the distinct ones).

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

Adding to 10102111202200 its reverse (220211120101), we get a palindrome (10322322322301).

The spelling of 10102111202200 in words is "ten trillion, one hundred two billion, one hundred eleven million, two hundred two thousand, two hundred".