2212100012122 has 96 divisors (see below), whose sum is σ = 4492775290752. Its totient is φ = 794871792000.

The previous prime is 2212100012093. The next prime is 2212100012167.

It is a happy number.

2212100012122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2212100012096 and 2212100012105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25744872 + ... + 25830652.

It is an arithmetic number, because the mean of its divisors is an integer number (46799742612).

Almost surely, 2^{2212100012122} is an apocalyptic number.

2212100012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212100012122 is an abundant number, since it is smaller than the sum of its proper divisors (2280675278630).

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

2212100012122 is a wasteful number, since it uses less digits than its factorization.

2212100012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86996 (or 86985 counting only the distinct ones).

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

It can be divided in two parts, 22121000 and 12122, that added together give a palindrome (22133122).

The spelling of 2212100012122 in words is "two trillion, two hundred twelve billion, one hundred million, twelve thousand, one hundred twenty-two".