2122121101122 has 24 divisors (see below), whose sum is σ = 5015922603120. Its totient is φ = 643067000280.

The previous prime is 2122121101099. The next prime is 2122121101151. The reversal of 2122121101122 is 2211011212212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2122121101095 and 2122121101104.

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, 5358891472 + ... + 5358891867.

It is an arithmetic number, because the mean of its divisors is an integer number (208996775130).

Almost surely, 2^{2122121101122} is an apocalyptic number.

2122121101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2122121101122 is an abundant number, since it is smaller than the sum of its proper divisors (2893801501998).

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

2122121101122 is a wasteful number, since it uses less digits than its factorization.

2122121101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717783358 (or 10717783355 counting only the distinct ones).

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

Adding to 2122121101122 its reverse (2211011212212), we get a palindrome (4333132313334).

The spelling of 2122121101122 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-two".