2112202112211 has 24 divisors (see below), whose sum is σ = 3073058941680. Its totient is φ = 1397935584000.

The previous prime is 2112202112203. The next prime is 2112202112219. The reversal of 2112202112211 is 1122112022112.

2112202112211 is a `hidden beast` number, since 2 + 11 + 220 + 211 + 221 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2112202112203) and next prime (2112202112219).

It is not a de Polignac number, because 2112202112211 - 2³ = 2112202112203 is a prime.

It is a super-2 number, since 2×2112202112211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112202112219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44763471 + ... + 44810631.

It is an arithmetic number, because the mean of its divisors is an integer number (128044122570).

Almost surely, 2^{2112202112211} is an apocalyptic number.

2112202112211 is a deficient number, since it is larger than the sum of its proper divisors (960856829469).

2112202112211 is a wasteful number, since it uses less digits than its factorization.

2112202112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83107 (or 83104 counting only the distinct ones).

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

Adding to 2112202112211 its reverse (1122112022112), we get a palindrome (3234314134323).

Subtracting from 2112202112211 its reverse (1122112022112), we obtain a palindrome (990090090099).

The spelling of 2112202112211 in words is "two trillion, one hundred twelve billion, two hundred two million, one hundred twelve thousand, two hundred eleven".