2102122102121 has 16 divisors (see below), whose sum is σ = 2203983691776. Its totient is φ = 2002479570000.

The previous prime is 2102122102111. The next prime is 2102122102127. The reversal of 2102122102121 is 1212012212012.

It is a cyclic number.

It is not a de Polignac number, because 2102122102121 - 2⁶ = 2102122102057 is a prime.

It is a super-2 number, since 2×2102122102121² (a number of 25 digits) contains 22 as substring.

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 2102122102121.

It is not an unprimeable number, because it can be changed into a prime (2102122102127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632036 + ... + 2145626.

It is an arithmetic number, because the mean of its divisors is an integer number (137748980736).

Almost surely, 2^{2102122102121} is an apocalyptic number.

It is an amenable number.

2102122102121 is a deficient number, since it is larger than the sum of its proper divisors (101861589655).

2102122102121 is a wasteful number, since it uses less digits than its factorization.

2102122102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514324.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2102122102121 its reverse (1212012212012), we get a palindrome (3314134314133).

The spelling of 2102122102121 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".