2122101202131 has 24 divisors (see below), whose sum is σ = 3069514003920. Its totient is φ = 1412769931776.

The previous prime is 2122101202127. The next prime is 2122101202153. The reversal of 2122101202131 is 1312021012212.

It is not a de Polignac number, because 2122101202131 - 2² = 2122101202127 is a prime.

It is a super-2 number, since 2×2122101202131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122101212131) 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 23 ways as a sum of consecutive naturals, for example, 100235115 + ... + 100256283.

It is an arithmetic number, because the mean of its divisors is an integer number (127896416830).

Almost surely, 2^{2122101202131} is an apocalyptic number.

2122101202131 is a deficient number, since it is larger than the sum of its proper divisors (947412801789).

2122101202131 is a wasteful number, since it uses less digits than its factorization.

2122101202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36115 (or 36112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2122101202131 its reverse (1312021012212), we get a palindrome (3434122214343).

It can be divided in two parts, 2122101 and 202131, that added together give a palindrome (2324232).

The spelling of 2122101202131 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two hundred two thousand, one hundred thirty-one".