102112201001137 has 2 divisors, whose sum is σ = 102112201001138. Its totient is φ = 102112201001136.

The previous prime is 102112201001089. The next prime is 102112201001141. The reversal of 102112201001137 is 731100102211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72987786937521 + 29124414063616 = 8543289^2 + 5396704^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112201001137 - 2³⁹ = 101562445187249 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112201007137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056100500568 + 51056100500569.

It is an arithmetic number, because the mean of its divisors is an integer number (51056100500569).

Almost surely, 2^{102112201001137} is an apocalyptic number.

It is an amenable number.

102112201001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112201001137 is an equidigital number, since it uses as much as digits as its factorization.

102112201001137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 102112201001137 its reverse (731100102211201), we get a palindrome (833212303212338).

The spelling of 102112201001137 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, one thousand, one hundred thirty-seven".