212112113101 has 64 divisors (see below), whose sum is σ = 262077235200. Its totient is φ = 167757993216.

The previous prime is 212112113071. The next prime is 212112113123. The reversal of 212112113101 is 101311211212.

It is a happy number.

It is not a de Polignac number, because 212112113101 - 2¹⁷ = 212111982029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112113201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188879326 + ... + 188880448.

It is an arithmetic number, because the mean of its divisors is an integer number (4094956800).

Almost surely, 2^212112113101 is an apocalyptic number.

It is an amenable number.

212112113101 is a deficient number, since it is larger than the sum of its proper divisors (49965122099).

212112113101 is a wasteful number, since it uses less digits than its factorization.

212112113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 212112113101 its reverse (101311211212), we get a palindrome (313423324313).

It can be divided in two parts, 21211 and 2113101, that added together give a palindrome (2134312).

The spelling of 212112113101 in words is "two hundred twelve billion, one hundred twelve million, one hundred thirteen thousand, one hundred one".