10211100111200 has 72 divisors (see below), whose sum is σ = 26011667677968. Its totient is φ = 3906855687680.

The previous prime is 10211100111193. The next prime is 10211100111209. The reversal of 10211100111200 is 211100111201.

10211100111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211100111209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277457147 + ... + 277493946.

It is an arithmetic number, because the mean of its divisors is an integer number (361273162194).

Almost surely, 2^{10211100111200} is an apocalyptic number.

10211100111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211100111200 is an abundant number, since it is smaller than the sum of its proper divisors (15800567566768).

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

10211100111200 is a wasteful number, since it uses less digits than its factorization.

10211100111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554951136 (or 554951123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211100111200 its reverse (211100111201), we get a palindrome (10422200222401).

Subtracting from 10211100111200 its reverse (211100111201), we obtain a palindrome (9999999999999).

The spelling of 10211100111200 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred eleven thousand, two hundred".