100101101000 has 128 divisors (see below), whose sum is σ = 247233168000. Its totient is φ = 37830240000.

The previous prime is 100101100997. The next prime is 100101101059. The reversal of 100101101000 is 101101001.

100101101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7194050 + ... + 7207950.

It is an arithmetic number, because the mean of its divisors is an integer number (1931509125).

Almost surely, 2^100101101000 is an apocalyptic number.

100101101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123616584000).

100101101000 is an abundant number, since it is smaller than the sum of its proper divisors (147132067000).

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

100101101000 is a wasteful number, since it uses less digits than its factorization.

100101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14320 (or 14306 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100101101000 its reverse (101101001), we get a palindrome (100202202001).

Subtracting from 100101101000 its reverse (101101001), we obtain a palindrome (99999999999).

The spelling of 100101101000 in words is "one hundred billion, one hundred one million, one hundred one thousand".