101093187888001 has 2 divisors, whose sum is σ = 101093187888002. Its totient is φ = 101093187888000.

The previous prime is 101093187887999. The next prime is 101093187888029. The reversal of 101093187888001 is 100888781390101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62062568880400 + 39030619007601 = 7877980^2 + 6247449^2 .

It is a cyclic number.

It is not a de Polignac number, because 101093187888001 - 2¹ = 101093187887999 is a prime.

Together with 101093187887999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101093187888061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50546593944000 + 50546593944001.

It is an arithmetic number, because the mean of its divisors is an integer number (50546593944001).

Almost surely, 2^{101093187888001} is an apocalyptic number.

It is an amenable number.

101093187888001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101093187888001 is an equidigital number, since it uses as much as digits as its factorization.

101093187888001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 774144, while the sum is 55.

The spelling of 101093187888001 in words is "one hundred one trillion, ninety-three billion, one hundred eighty-seven million, eight hundred eighty-eight thousand, one".