100000111100100 has 144 divisors (see below), whose sum is σ = 297036764430336. Its totient is φ = 25962673424000.

The previous prime is 100000111100063. The next prime is 100000111100117. The reversal of 100000111100100 is 1001111000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15872886 + ... + 21259085.

It is an arithmetic number, because the mean of its divisors is an integer number (2062755308544).

Almost surely, 2^{100000111100100} is an apocalyptic number.

100000111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000111100100 is an abundant number, since it is smaller than the sum of its proper divisors (197036653330236).

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

100000111100100 is a wasteful number, since it uses less digits than its factorization.

100000111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37132226 (or 37132219 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100000111100100 its reverse (1001111000001), we get a palindrome (101001222100101).

It can be divided in two parts, 10000011 and 1100100, that added together give a palindrome (11100111).

The spelling of 100000111100100 in words is "one hundred trillion, one hundred eleven million, one hundred thousand, one hundred".