2112122122201 has 32 divisors (see below), whose sum is σ = 2602968238080. Its totient is φ = 1668924117504.

The previous prime is 2112122122171. The next prime is 2112122122249. The reversal of 2112122122201 is 1022212212112.

It is not a de Polignac number, because 2112122122201 - 2²⁷ = 2111987904473 is a prime.

It is a super-2 number, since 2×2112122122201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112122122601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260977311 + ... + 260985403.

It is an arithmetic number, because the mean of its divisors is an integer number (81342757440).

Almost surely, 2^{2112122122201} is an apocalyptic number.

It is an amenable number.

2112122122201 is a deficient number, since it is larger than the sum of its proper divisors (490846115879).

2112122122201 is a wasteful number, since it uses less digits than its factorization.

2112122122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2112122122201 its reverse (1022212212112), we get a palindrome (3134334334313).

The spelling of 2112122122201 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".