102131101012337 has 2 divisors, whose sum is σ = 102131101012338. Its totient is φ = 102131101012336.

The previous prime is 102131101012327. The next prime is 102131101012393. The reversal of 102131101012337 is 733210101131201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102076286964961 + 54814047376 = 10103281^2 + 234124^2 .

It is a cyclic number.

It is not a de Polignac number, because 102131101012337 - 2¹² = 102131101008241 is a prime.

It is not a weakly prime, because it can be changed into another prime (102131101012327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065550506168 + 51065550506169.

It is an arithmetic number, because the mean of its divisors is an integer number (51065550506169).

Almost surely, 2^{102131101012337} is an apocalyptic number.

It is an amenable number.

102131101012337 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131101012337 is an equidigital number, since it uses as much as digits as its factorization.

102131101012337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 102131101012337 its reverse (733210101131201), we get a palindrome (835341202143538).

The spelling of 102131101012337 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred one million, twelve thousand, three hundred thirty-seven".