2122211102112 has 72 divisors (see below), whose sum is σ = 6041019855780. Its totient is φ = 706702510080.

The previous prime is 2122211102093. The next prime is 2122211102131. The reversal of 2122211102112 is 2112011122212.

It is an interprime number because it is at equal distance from previous prime (2122211102093) and next prime (2122211102131).

It can be written as a sum of positive squares in 2 ways, for example, as 2004614232336 + 117596869776 = 1415844^2 + 342924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3360939 + ... + 3942122.

Almost surely, 2^{2122211102112} is an apocalyptic number.

It is an amenable number.

2122211102112 is an abundant number, since it is smaller than the sum of its proper divisors (3918808753668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122211102112 is a wasteful number, since it uses less digits than its factorization.

2122211102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304086 (or 7304075 counting only the distinct ones).

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

Adding to 2122211102112 its reverse (2112011122212), we get a palindrome (4234222224324).

The spelling of 2122211102112 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, one hundred two thousand, one hundred twelve".