100101004140 has 48 divisors (see below), whose sum is σ = 280296979200. Its totient is φ = 26692251840.

The previous prime is 100101004139. The next prime is 100101004169. The reversal of 100101004140 is 41400101001.

100101004140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100101004140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1875625 + ... + 1928255.

It is an arithmetic number, because the mean of its divisors is an integer number (5839520400).

Almost surely, 2^100101004140 is an apocalyptic number.

100101004140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101004140 is an abundant number, since it is smaller than the sum of its proper divisors (180195975060).

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

100101004140 is a wasteful number, since it uses less digits than its factorization.

100101004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84342 (or 84340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100101004140 its reverse (41400101001), we get a palindrome (141501105141).

The spelling of 100101004140 in words is "one hundred billion, one hundred one million, four thousand, one hundred forty".