211100101001112 has 128 divisors (see below), whose sum is σ = 541264737427200. Its totient is φ = 68587725888000.

The previous prime is 211100101001087. The next prime is 211100101001147.

211100101001112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262862439 + ... + 263664297.

It is an arithmetic number, because the mean of its divisors is an integer number (4228630761150).

Almost surely, 2^{211100101001112} is an apocalyptic number.

It is an amenable number.

211100101001112 is an abundant number, since it is smaller than the sum of its proper divisors (330164636426088).

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

211100101001112 is a wasteful number, since it uses less digits than its factorization.

211100101001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803657 (or 803653 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 21110010 and 1001112, that added together give a palindrome (22111122).

The spelling of 211100101001112 in words is "two hundred eleven trillion, one hundred billion, one hundred one million, one thousand, one hundred twelve".