102133222131 has 16 divisors (see below), whose sum is σ = 138762118656. Its totient is φ = 66796850016.

The previous prime is 102133222129. The next prime is 102133222153. The reversal of 102133222131 is 131222331201.

It is not a de Polignac number, because 102133222131 - 2¹ = 102133222129 is a prime.

It is a super-2 number, since 2×102133222131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102133222098 and 102133222107.

It is not an unprimeable number, because it can be changed into a prime (102133222531) 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 15 ways as a sum of consecutive naturals, for example, 1700886 + ... + 1759908.

It is an arithmetic number, because the mean of its divisors is an integer number (8672632416).

Almost surely, 2^102133222131 is an apocalyptic number.

102133222131 is a deficient number, since it is larger than the sum of its proper divisors (36628896525).

102133222131 is a wasteful number, since it uses less digits than its factorization.

102133222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69962.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102133222131 its reverse (131222331201), we get a palindrome (233355553332).

The spelling of 102133222131 in words is "one hundred two billion, one hundred thirty-three million, two hundred twenty-two thousand, one hundred thirty-one".