2102122111121 has 32 divisors (see below), whose sum is σ = 2275693056000. Its totient is φ = 1935805926208.

The previous prime is 2102122111099. The next prime is 2102122111139. The reversal of 2102122111121 is 1211112212012.

It is a cyclic number.

It is not a de Polignac number, because 2102122111121 - 2²² = 2102117916817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102122111121.

It is not an unprimeable number, because it can be changed into a prime (2102122711121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523044050 + ... + 523048068.

It is an arithmetic number, because the mean of its divisors is an integer number (71115408000).

Almost surely, 2^{2102122111121} is an apocalyptic number.

It is an amenable number.

2102122111121 is a deficient number, since it is larger than the sum of its proper divisors (173570944879).

2102122111121 is a wasteful number, since it uses less digits than its factorization.

2102122111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2102122111121 its reverse (1211112212012), we get a palindrome (3313234323133).

The spelling of 2102122111121 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".