211210101012112 has 20 divisors (see below), whose sum is σ = 409239881007100. Its totient is φ = 105599809139328.

The previous prime is 211210101012089. The next prime is 211210101012143.

211210101012112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 51605890508176 + 159604210503936 = 7183724^2 + 12633456^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327252963 + ... + 327897730.

It is an arithmetic number, because the mean of its divisors is an integer number (20461994050355).

Almost surely, 2^{211210101012112} is an apocalyptic number.

It is an amenable number.

211210101012112 is a deficient number, since it is larger than the sum of its proper divisors (198029779994988).

211210101012112 is a wasteful number, since it uses less digits than its factorization.

211210101012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655170850 (or 655170844 counting only the distinct ones).

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

It can be divided in two parts, 21121010 and 1012112, that added together give a palindrome (22133122).

The spelling of 211210101012112 in words is "two hundred eleven trillion, two hundred ten billion, one hundred one million, twelve thousand, one hundred twelve".