100111001000 has 32 divisors (see below), whose sum is σ = 234259744680. Its totient is φ = 40044400000.

The previous prime is 100111000961. The next prime is 100111001009. The reversal of 100111001000 is 100111001.

It can be written as a sum of positive squares in 4 ways, for example, as 18852937636 + 81258063364 = 137306^2 + 285058^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100111001009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50054501 + ... + 50056500.

Almost surely, 2^100111001000 is an apocalyptic number.

100111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111001000 is an abundant number, since it is smaller than the sum of its proper divisors (134148743680).

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

100111001000 is a wasteful number, since it uses less digits than its factorization.

100111001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111022 (or 100111008 counting only the distinct ones).

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

Adding to 100111001000 its reverse (100111001), we get a palindrome (100211112001).

100111001000 divided by its reverse (100111001) gives a cube (1000 = 10³).

The spelling of 100111001000 in words is "one hundred billion, one hundred eleven million, one thousand".