101114517667993 has 2 divisors, whose sum is σ = 101114517667994. Its totient is φ = 101114517667992.

The previous prime is 101114517667937. The next prime is 101114517668029. The reversal of 101114517667993 is 399766715411101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50654350792969 + 50460166875024 = 7117187^2 + 7103532^2 .

It is a cyclic number.

It is not a de Polignac number, because 101114517667993 - 2²¹ = 101114515570841 is a prime.

It is not a weakly prime, because it can be changed into another prime (101114517667913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50557258833996 + 50557258833997.

It is an arithmetic number, because the mean of its divisors is an integer number (50557258833997).

Almost surely, 2^{101114517667993} is an apocalyptic number.

It is an amenable number.

101114517667993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101114517667993 is an equidigital number, since it uses as much as digits as its factorization.

101114517667993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8573040, while the sum is 61.

The spelling of 101114517667993 in words is "one hundred one trillion, one hundred fourteen billion, five hundred seventeen million, six hundred sixty-seven thousand, nine hundred ninety-three".