100111200001120 has 96 divisors (see below), whose sum is σ = 294872989130496. Its totient is φ = 31203490905600.

The previous prime is 100111200001081. The next prime is 100111200001151. The reversal of 100111200001120 is 21100002111001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111200001097 and 100111200001106.

It is a congruent number.

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, 4062942226 + ... + 4062966865.

It is an arithmetic number, because the mean of its divisors is an integer number (3071593636776).

Almost surely, 2^{100111200001120} is an apocalyptic number.

100111200001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111200001120 is an abundant number, since it is smaller than the sum of its proper divisors (194761789129376).

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

100111200001120 is a wasteful number, since it uses less digits than its factorization.

100111200001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125909124 (or 8125909116 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100111200001120 its reverse (21100002111001), we get a palindrome (121211202112121).

The spelling of 100111200001120 in words is "one hundred trillion, one hundred eleven billion, two hundred million, one thousand, one hundred twenty".