101210012121137 has 2 divisors, whose sum is σ = 101210012121138. Its totient is φ = 101210012121136.

The previous prime is 101210012121109. The next prime is 101210012121223. The reversal of 101210012121137 is 731121210012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52278742003216 + 48931270117921 = 7230404^2 + 6995089^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210012121137 - 2²⁰ = 101210011072561 is a prime.

It is not a weakly prime, because it can be changed into another prime (101210012129137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605006060568 + 50605006060569.

It is an arithmetic number, because the mean of its divisors is an integer number (50605006060569).

Almost surely, 2^{101210012121137} is an apocalyptic number.

It is an amenable number.

101210012121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210012121137 is an equidigital number, since it uses as much as digits as its factorization.

101210012121137 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 23.

Adding to 101210012121137 its reverse (731121210012101), we get a palindrome (832331222133238).

The spelling of 101210012121137 in words is "one hundred one trillion, two hundred ten billion, twelve million, one hundred twenty-one thousand, one hundred thirty-seven".