100112011011100 has 72 divisors (see below), whose sum is σ = 240330355122816. Its totient is φ = 35891630040000.

The previous prime is 100112011011097. The next prime is 100112011011101. The reversal of 100112011011100 is 1110110211001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112011011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640843866 + ... + 641000065.

It is an arithmetic number, because the mean of its divisors is an integer number (3337921598928).

Almost surely, 2^{100112011011100} is an apocalyptic number.

100112011011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112011011100 is an abundant number, since it is smaller than the sum of its proper divisors (140218344111716).

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

100112011011100 is a wasteful number, since it uses less digits than its factorization.

100112011011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281844027 (or 1281844020 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100112011011100 its reverse (1110110211001), we get a palindrome (101222121222101).

The spelling of 100112011011100 in words is "one hundred trillion, one hundred twelve billion, eleven million, eleven thousand, one hundred".