100130010144 has 48 divisors (see below), whose sum is σ = 267296228640. Its totient is φ = 32810961920.

The previous prime is 100130010107. The next prime is 100130010151. The reversal of 100130010144 is 441010031001.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8833497 + ... + 8844824.

It is an arithmetic number, because the mean of its divisors is an integer number (5568671430).

Almost surely, 2^100130010144 is an apocalyptic number.

It is an amenable number.

100130010144 is an abundant number, since it is smaller than the sum of its proper divisors (167166218496).

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

100130010144 is a wasteful number, since it uses less digits than its factorization.

100130010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17678393 (or 17678385 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100130010144 its reverse (441010031001), we get a palindrome (541140041145).

The spelling of 100130010144 in words is "one hundred billion, one hundred thirty million, ten thousand, one hundred forty-four".