211100102112 has 48 divisors (see below), whose sum is σ = 555339918672. Its totient is φ = 70214046720.

The previous prime is 211100102111. The next prime is 211100102149. The reversal of 211100102112 is 211201001112.

211100102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×211100102112² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100102111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2340733 + ... + 2429244.

It is an arithmetic number, because the mean of its divisors is an integer number (11569581639).

Almost surely, 2^211100102112 is an apocalyptic number.

It is an amenable number.

211100102112 is an abundant number, since it is smaller than the sum of its proper divisors (344239816560).

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

211100102112 is a wasteful number, since it uses less digits than its factorization.

211100102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770451 (or 4770443 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211100102112 its reverse (211201001112), we get a palindrome (422301103224).

The spelling of 211100102112 in words is "two hundred eleven billion, one hundred million, one hundred two thousand, one hundred twelve".