101895627791887 has 2 divisors, whose sum is σ = 101895627791888. Its totient is φ = 101895627791886.

The previous prime is 101895627791849. The next prime is 101895627791897. The reversal of 101895627791887 is 788197726598101.

It is a strong prime.

It is an emirp because it is prime and its reverse (788197726598101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101895627791887 - 2²⁷ = 101895493574159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101895627791897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50947813895943 + 50947813895944.

It is an arithmetic number, because the mean of its divisors is an integer number (50947813895944).

Almost surely, 2^{101895627791887} is an apocalyptic number.

101895627791887 is a deficient number, since it is larger than the sum of its proper divisors (1).

101895627791887 is an equidigital number, since it uses as much as digits as its factorization.

101895627791887 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 853493760, while the sum is 79.

The spelling of 101895627791887 in words is "one hundred one trillion, eight hundred ninety-five billion, six hundred twenty-seven million, seven hundred ninety-one thousand, eight hundred eighty-seven".