100234000100 has 144 divisors (see below), whose sum is σ = 239878146816. Its totient is φ = 36122880000.

The previous prime is 100234000093. The next prime is 100234000103. The reversal of 100234000100 is 1000432001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100234000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24499055 + ... + 24503145.

It is an arithmetic number, because the mean of its divisors is an integer number (1665820464).

Almost surely, 2^100234000100 is an apocalyptic number.

100234000100 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 100234000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119939073408).

100234000100 is an abundant number, since it is smaller than the sum of its proper divisors (139644146716).

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

100234000100 is a wasteful number, since it uses less digits than its factorization.

100234000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100234000100 its reverse (1000432001), we get a palindrome (101234432101).

The spelling of 100234000100 in words is "one hundred billion, two hundred thirty-four million, one hundred", and thus it is an aban number.