2122112121201 has 12 divisors (see below), whose sum is σ = 3095622303540. Its totient is φ = 1400734072800.

The previous prime is 2122112121167. The next prime is 2122112121257. The reversal of 2122112121201 is 1021212112212.

2122112121201 is a `hidden beast` number, since 212 + 211 + 21 + 21 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1062548640000 + 1059563481201 = 1030800^2 + 1029351^2 .

It is not a de Polignac number, because 2122112121201 - 2⁶ = 2122112121137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122112121271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167277486 + ... + 1167279303.

It is an arithmetic number, because the mean of its divisors is an integer number (257968525295).

Almost surely, 2^{2122112121201} is an apocalyptic number.

It is an amenable number.

2122112121201 is a deficient number, since it is larger than the sum of its proper divisors (973510182339).

2122112121201 is a wasteful number, since it uses less digits than its factorization.

2122112121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334556896 (or 2334556893 counting only the distinct ones).

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

Adding to 2122112121201 its reverse (1021212112212), we get a palindrome (3143324233413).

The spelling of 2122112121201 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred one".