2122111102128 has 40 divisors (see below), whose sum is σ = 5482364991600. Its totient is φ = 707338800384.

The previous prime is 2122111102121. The next prime is 2122111102141. The reversal of 2122111102128 is 8212011112212.

It is a super-2 number, since 2×2122111102128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2122111102098 and 2122111102107.

It is not an unprimeable number, because it can be changed into a prime (2122111102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112978 + ... + 2063246.

It is an arithmetic number, because the mean of its divisors is an integer number (137059124790).

Almost surely, 2^{2122111102128} is an apocalyptic number.

It is an amenable number.

2122111102128 is an abundant number, since it is smaller than the sum of its proper divisors (3360253889472).

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

2122111102128 is a wasteful number, since it uses less digits than its factorization.

2122111102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972949 (or 1972943 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 2122111102128 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred two thousand, one hundred twenty-eight".