2122102012101 has 32 divisors (see below), whose sum is σ = 2910696284160. Its totient is φ = 1374417417600.

The previous prime is 2122102012073. The next prime is 2122102012117. The reversal of 2122102012101 is 1012102012212.

It is not a de Polignac number, because 2122102012101 - 2⁷ = 2122102011973 is a prime.

It is a super-2 number, since 2×2122102012101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122102012801) 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, 67950376 + ... + 67981598.

It is an arithmetic number, because the mean of its divisors is an integer number (90959258880).

Almost surely, 2^{2122102012101} is an apocalyptic number.

It is an amenable number.

2122102012101 is a deficient number, since it is larger than the sum of its proper divisors (788594272059).

2122102012101 is a wasteful number, since it uses less digits than its factorization.

2122102012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33577.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122102012101 its reverse (1012102012212), we get a palindrome (3134204024313).

The spelling of 2122102012101 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred one".