101514152422201 has 2 divisors, whose sum is σ = 101514152422202. Its totient is φ = 101514152422200.

The previous prime is 101514152422187. The next prime is 101514152422213. The reversal of 101514152422201 is 102224251415101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70641671619600 + 30872480802601 = 8404860^2 + 5556301^2 .

It is a cyclic number.

It is not a de Polignac number, because 101514152422201 - 2¹⁷ = 101514152291129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101514152422261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50757076211100 + 50757076211101.

It is an arithmetic number, because the mean of its divisors is an integer number (50757076211101).

Almost surely, 2^{101514152422201} is an apocalyptic number.

It is an amenable number.

101514152422201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101514152422201 is an equidigital number, since it uses as much as digits as its factorization.

101514152422201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6400, while the sum is 31.

The spelling of 101514152422201 in words is "one hundred one trillion, five hundred fourteen billion, one hundred fifty-two million, four hundred twenty-two thousand, two hundred one".