212112112012101 has 48 divisors (see below), whose sum is σ = 351973055161728. Its totient is φ = 120578604220800.

The previous prime is 212112112012093. The next prime is 212112112012127. The reversal of 212112112012101 is 101210211211212.

It is a happy number.

212112112012101 is a `hidden beast` number, since 21 + 21 + 1 + 211 + 201 + 210 + 1 = 666.

It is not a de Polignac number, because 212112112012101 - 2³ = 212112112012093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112112012001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419066 + ... + 20645531.

It is an arithmetic number, because the mean of its divisors is an integer number (7332771982536).

Almost surely, 2^{212112112012101} is an apocalyptic number.

212112112012101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212112112012101 is a deficient number, since it is larger than the sum of its proper divisors (139860943149627).

212112112012101 is a wasteful number, since it uses less digits than its factorization.

212112112012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22065402 (or 22065399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212112112012101 its reverse (101210211211212), we get a palindrome (313322323223313).

The spelling of 212112112012101 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twelve million, twelve thousand, one hundred one".