101100001000 has 64 divisors (see below), whose sum is σ = 238437089280. Its totient is φ = 40121524800.

The previous prime is 101100000961. The next prime is 101100001027. The reversal of 101100001000 is 100001101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271032 + ... + 525031.

It is an arithmetic number, because the mean of its divisors is an integer number (3725579520).

Almost surely, 2^101100001000 is an apocalyptic number.

101100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100001000 is an abundant number, since it is smaller than the sum of its proper divisors (137337088280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100001000 is a wasteful number, since it uses less digits than its factorization.

101100001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796211 (or 796197 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101100001000 its reverse (100001101), we get a palindrome (101200002101).

The spelling of 101100001000 in words is "one hundred one billion, one hundred million, one thousand".