101010009999959 has 16 divisors (see below), whose sum is σ = 101925804524544. Its totient is φ = 100098840268800.

The previous prime is 101010009999919. The next prime is 101010010000021. The reversal of 101010009999959 is 959999900010101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010009999959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010009999919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92841599 + ... + 93923279.

It is an arithmetic number, because the mean of its divisors is an integer number (6370362782784).

Almost surely, 2^{101010009999959} is an apocalyptic number.

101010009999959 is a deficient number, since it is larger than the sum of its proper divisors (915794524585).

101010009999959 is a wasteful number, since it uses less digits than its factorization.

101010009999959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083818.

The product of its (nonzero) digits is 2657205, while the sum is 62.

The spelling of 101010009999959 in words is "one hundred one trillion, ten billion, nine million, nine hundred ninety-nine thousand, nine hundred fifty-nine".