101001010009999 has 32 divisors (see below), whose sum is σ = 113104220420160. Its totient is φ = 89414755200000.

The previous prime is 101001010009967. The next prime is 101001010010027. The reversal of 101001010009999 is 999900010100101.

It is a cyclic number.

It is not a de Polignac number, because 101001010009999 - 2⁵ = 101001010009967 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 (101001010009799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1846122457 + ... + 1846177165.

It is an arithmetic number, because the mean of its divisors is an integer number (3534506888130).

Almost surely, 2^{101001010009999} is an apocalyptic number.

101001010009999 is a deficient number, since it is larger than the sum of its proper divisors (12103210410161).

101001010009999 is a wasteful number, since it uses less digits than its factorization.

101001010009999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82123.

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 101001010009999 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred ninety-nine".