211112210112100 has 72 divisors (see below), whose sum is σ = 504708298226496. Its totient is φ = 76007996400000.

The previous prime is 211112210112091. The next prime is 211112210112103. The reversal of 211112210112100 is 1211012211112.

It is not an unprimeable number, because it can be changed into a prime (211112210112103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 949988856 + ... + 950211055.

It is an arithmetic number, because the mean of its divisors is an integer number (7009837475368).

Almost surely, 2^{211112210112100} is an apocalyptic number.

211112210112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112210112100 is an abundant number, since it is smaller than the sum of its proper divisors (293596088114396).

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

211112210112100 is a wasteful number, since it uses less digits than its factorization.

211112210112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900200037 (or 1900200030 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211112210112100 its reverse (1211012211112), we get a palindrome (212323222323212).

The spelling of 211112210112100 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred ten million, one hundred twelve thousand, one hundred".