10211111111200 has 72 divisors (see below), whose sum is σ = 25269352884468. Its totient is φ = 4028493127680.

The previous prime is 10211111111189. The next prime is 10211111111261. The reversal of 10211111111200 is 211111111201.

It can be written as a sum of positive squares in 6 ways, for example, as 7853154313104 + 2357956798096 = 2802348^2 + 1535564^2 .

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, 87365497 + ... + 87482296.

Almost surely, 2^{10211111111200} is an apocalyptic number.

10211111111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211111111200 is an abundant number, since it is smaller than the sum of its proper divisors (15058241773268).

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

10211111111200 is a wasteful number, since it uses less digits than its factorization.

10211111111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174847886 (or 174847873 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10211111111200 its reverse (211111111201), we get a palindrome (10422222222401).

Subtracting from 10211111111200 its reverse (211111111201), we obtain a palindrome (9999999999999).

The spelling of 10211111111200 in words is "ten trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, two hundred".