212210012100112 has 20 divisors (see below), whose sum is σ = 442784352170860. Its totient is φ = 97943082507648.

The previous prime is 212210012100091. The next prime is 212210012100137. The reversal of 212210012100112 is 211001210012212.

It can be written as a sum of positive squares in 2 ways, for example, as 50732912271616 + 161477099828496 = 7122704^2 + 12707364^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 510120221187 + ... + 510120221602.

It is an arithmetic number, because the mean of its divisors is an integer number (22139217608543).

Almost surely, 2^{212210012100112} is an apocalyptic number.

It is an amenable number.

212210012100112 is an abundant number, since it is smaller than the sum of its proper divisors (230574340070748).

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

212210012100112 is a wasteful number, since it uses less digits than its factorization.

212210012100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020240442810 (or 1020240442804 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212210012100112 its reverse (211001210012212), we get a palindrome (423211222112324).

It can be divided in two parts, 212210012100 and 112, that added together give a palindrome (212210012212).

The spelling of 212210012100112 in words is "two hundred twelve trillion, two hundred ten billion, twelve million, one hundred thousand, one hundred twelve".