100444101000 has 64 divisors (see below), whose sum is σ = 313385604480. Its totient is φ = 26785092800.

The previous prime is 100444100987. The next prime is 100444101031. The reversal of 100444101000 is 101444001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 16737684 + ... + 16743683.

It is an arithmetic number, because the mean of its divisors is an integer number (4896650070).

Almost surely, 2^100444101000 is an apocalyptic number.

100444101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100444101000 is an abundant number, since it is smaller than the sum of its proper divisors (212941503480).

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

100444101000 is a wasteful number, since it uses less digits than its factorization.

100444101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33481391 (or 33481377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100444101000 its reverse (101444001), we get a palindrome (100545545001).

The spelling of 100444101000 in words is "one hundred billion, four hundred forty-four million, one hundred one thousand".