212112212200101 has 20 divisors (see below), whose sum is σ = 316917738061452. Its totient is φ = 141381920492928.

The previous prime is 212112212200073. The next prime is 212112212200117. The reversal of 212112212200101 is 101002212211212.

212112212200101 is a `hidden beast` number, since 2 + 1 + 211 + 221 + 220 + 0 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169812147377601 + 42300064822500 = 13031199^2 + 6503850^2 .

It is not a de Polignac number, because 212112212200101 - 2¹³ = 212112212191909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112212201101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 242347266 + ... + 243220931.

Almost surely, 2^{212112212200101} is an apocalyptic number.

It is an amenable number.

212112212200101 is a deficient number, since it is larger than the sum of its proper divisors (104805525861351).

212112212200101 is an equidigital number, since it uses as much as digits as its factorization.

212112212200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485573602 (or 485573593 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112212200101 its reverse (101002212211212), we get a palindrome (313114424411313).

The spelling of 212112212200101 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twelve million, two hundred thousand, one hundred one".