100111100011300 has 54 divisors (see below), whose sum is σ = 252709019612322. Its totient is φ = 34323805716480.

The previous prime is 100111100011291. The next prime is 100111100011301. The reversal of 100111100011300 is 3110001111001.

It can be written as a sum of positive squares in 3 ways, for example, as 109340003556 + 100001760007744 = 330666^2 + 10000088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100111100011301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10215413469 + ... + 10215423268.

Almost surely, 2^{100111100011300} is an apocalyptic number.

100111100011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111100011300 is an abundant number, since it is smaller than the sum of its proper divisors (152597919601022).

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

100111100011300 is a wasteful number, since it uses less digits than its factorization.

100111100011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20430836765 (or 20430836751 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100111100011300 its reverse (3110001111001), we get a palindrome (103221101122301).

The spelling of 100111100011300 in words is "one hundred trillion, one hundred eleven billion, one hundred million, eleven thousand, three hundred".