100111111000140 has 96 divisors (see below), whose sum is σ = 280958121452736. Its totient is φ = 26634735083520.

The previous prime is 100111111000139. The next prime is 100111111000141. The reversal of 100111111000140 is 41000111111001.

It is an interprime number because it is at equal distance from previous prime (100111111000139) and next prime (100111111000141).

It is a super-2 number, since 2×100111111000140² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100111111000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53552244 + ... + 55390116.

It is an arithmetic number, because the mean of its divisors is an integer number (2926647098466).

Almost surely, 2^{100111111000140} is an apocalyptic number.

100111111000140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111111000140 is an abundant number, since it is smaller than the sum of its proper divisors (180847010452596).

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

100111111000140 is a wasteful number, since it uses less digits than its factorization.

100111111000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839979 (or 1839977 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111111000140 its reverse (41000111111001), we get a palindrome (141111222111141).

The spelling of 100111111000140 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one hundred forty", and thus it is an aban number.