211131101100 has 36 divisors (see below), whose sum is σ = 610872653384. Its totient is φ = 56301626880.

The previous prime is 211131101087. The next prime is 211131101117. The reversal of 211131101100 is 1101131112.

211131101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351884869 + ... + 351885468.

Almost surely, 2^211131101100 is an apocalyptic number.

211131101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131101100 is an abundant number, since it is smaller than the sum of its proper divisors (399741552284).

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

211131101100 is a wasteful number, since it uses less digits than its factorization.

211131101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703770354 (or 703770347 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 211131101100 its reverse (1101131112), we get a palindrome (212232232212).

The spelling of 211131101100 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred one thousand, one hundred".