10211111200 has 72 divisors (see below), whose sum is σ = 26394255972. Its totient is φ = 3844177920.

The previous prime is 10211111191. The next prime is 10211111227. The reversal of 10211111200 is 211111201.

It can be written as a sum of positive squares in 6 ways, for example, as 4683486096 + 5527625104 = 68436^2 + 74348^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 361809 + ... + 389008.

Almost surely, 2^10211111200 is an apocalyptic number.

10211111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211111200 is an abundant number, since it is smaller than the sum of its proper divisors (16183144772).

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

10211111200 is a wasteful number, since it uses less digits than its factorization.

10211111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750854 (or 750841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211111200 its reverse (211111201), we get a palindrome (10422222401).

Subtracting from 10211111200 its reverse (211111201), we obtain a palindrome (9999999999).

It can be divided in two parts, 102111 and 11200, that added together give a palindrome (113311).

The spelling of 10211111200 in words is "ten billion, two hundred eleven million, one hundred eleven thousand, two hundred".