2122100220112 has 40 divisors (see below), whose sum is σ = 4118061931880. Its totient is φ = 1059375075840.

The previous prime is 2122100220091. The next prime is 2122100220133. The reversal of 2122100220112 is 2110220012212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2122100220091) and next prime (2122100220133).

It can be written as a sum of positive squares in 4 ways, for example, as 3689833536 + 2118410386576 = 60744^2 + 1455476^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89980162 + ... + 90003742.

It is an arithmetic number, because the mean of its divisors is an integer number (102951548297).

Almost surely, 2^{2122100220112} is an apocalyptic number.

It is an amenable number.

2122100220112 is a deficient number, since it is larger than the sum of its proper divisors (1995961711768).

2122100220112 is a wasteful number, since it uses less digits than its factorization.

2122100220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32231 (or 32225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122100220112 its reverse (2110220012212), we get a palindrome (4232320232324).

The spelling of 2122100220112 in words is "two trillion, one hundred twenty-two billion, one hundred million, two hundred twenty thousand, one hundred twelve".