102122132331121 has 48 divisors (see below), whose sum is σ = 123793178636160. Its totient is φ = 82511994263040.

The previous prime is 102122132331101. The next prime is 102122132331139. The reversal of 102122132331121 is 121133231221201.

It is not a de Polignac number, because 102122132331121 - 2¹³ = 102122132322929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122132331101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722820675 + ... + 722961943.

It is an arithmetic number, because the mean of its divisors is an integer number (2579024554920).

Almost surely, 2^{102122132331121} is an apocalyptic number.

It is an amenable number.

102122132331121 is a deficient number, since it is larger than the sum of its proper divisors (21671046305039).

102122132331121 is a wasteful number, since it uses less digits than its factorization.

102122132331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142742 (or 142723 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 102122132331121 its reverse (121133231221201), we get a palindrome (223255363552322).

The spelling of 102122132331121 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty-one".