10211131100 has 36 divisors (see below), whose sum is σ = 22200797808. Its totient is φ = 4076592000.

The previous prime is 10211131093. The next prime is 10211131111. The reversal of 10211131100 is 113111201.

It is a happy number.

10211131100 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45896 + ... + 150095.

It is an arithmetic number, because the mean of its divisors is an integer number (616688828).

Almost surely, 2^10211131100 is an apocalyptic number.

10211131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211131100 is an abundant number, since it is smaller than the sum of its proper divisors (11989666708).

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

10211131100 is a wasteful number, since it uses less digits than its factorization.

10211131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196526 (or 196519 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10211131100 its reverse (113111201), we get a palindrome (10324242301).

The spelling of 10211131100 in words is "ten billion, two hundred eleven million, one hundred thirty-one thousand, one hundred".