101100000999 has 32 divisors (see below), whose sum is σ = 139938321600. Its totient is φ = 64847605760.

The previous prime is 101100000961. The next prime is 101100001027. The reversal of 101100000999 is 999000001101.

It is a cyclic number.

It is not a de Polignac number, because 101100000999 - 2²¹ = 101097903847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100001999) 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, 44477527 + ... + 44479799.

It is an arithmetic number, because the mean of its divisors is an integer number (4373072550).

Almost surely, 2^101100000999 is an apocalyptic number.

101100000999 is a deficient number, since it is larger than the sum of its proper divisors (38838320601).

101100000999 is a wasteful number, since it uses less digits than its factorization.

101100000999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875.

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 101100000999 in words is "one hundred one billion, one hundred million, nine hundred ninety-nine", and thus it is an aban number.