101334297017137 has 2 divisors, whose sum is σ = 101334297017138. Its totient is φ = 101334297017136.

The previous prime is 101334297017081. The next prime is 101334297017167. The reversal of 101334297017137 is 731710792433101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89058025947136 + 12276271070001 = 9437056^2 + 3503751^2 .

It is a cyclic number.

It is not a de Polignac number, because 101334297017137 - 2¹⁵ = 101334296984369 is a prime.

It is not a weakly prime, because it can be changed into another prime (101334297017167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50667148508568 + 50667148508569.

It is an arithmetic number, because the mean of its divisors is an integer number (50667148508569).

Almost surely, 2^{101334297017137} is an apocalyptic number.

It is an amenable number.

101334297017137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101334297017137 is an equidigital number, since it uses as much as digits as its factorization.

101334297017137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 666792, while the sum is 49.

The spelling of 101334297017137 in words is "one hundred one trillion, three hundred thirty-four billion, two hundred ninety-seven million, seventeen thousand, one hundred thirty-seven".