100111011101100 has 108 divisors (see below), whose sum is σ = 313841612043960. Its totient is φ = 26692083072000.

The previous prime is 100111011101093. The next prime is 100111011101107. The reversal of 100111011101100 is 1101110111001.

It is an interprime number because it is at equal distance from previous prime (100111011101093) and next prime (100111011101107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100111011101107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2977701 + ... + 14459900.

Almost surely, 2^{100111011101100} is an apocalyptic number.

100111011101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111011101100 is an abundant number, since it is smaller than the sum of its proper divisors (213730600942860).

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

100111011101100 is a wasteful number, since it uses less digits than its factorization.

100111011101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17444000 (or 17443990 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111011101100 its reverse (1101110111001), we get a palindrome (101212121212101).

Subtracting from 100111011101100 its reverse (1101110111001), we obtain a palindrome (99009900990099).

The spelling of 100111011101100 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred one thousand, one hundred".