100042112140 has 48 divisors (see below), whose sum is σ = 210513139200. Its totient is φ = 39936042432.

The previous prime is 100042112129. The next prime is 100042112147. The reversal of 100042112140 is 41211240001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100042112147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32073501 + ... + 32076619.

It is an arithmetic number, because the mean of its divisors is an integer number (4385690400).

Almost surely, 2^100042112140 is an apocalyptic number.

100042112140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100042112140 is an abundant number, since it is smaller than the sum of its proper divisors (110471027060).

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

100042112140 is a wasteful number, since it uses less digits than its factorization.

100042112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100042112140 its reverse (41211240001), we get a palindrome (141253352141).

The spelling of 100042112140 in words is "one hundred billion, forty-two million, one hundred twelve thousand, one hundred forty".