100100111101110 has 96 divisors (see below), whose sum is σ = 260636568192000. Its totient is φ = 26654780325888.

The previous prime is 100100111101091. The next prime is 100100111101117. The reversal of 100100111101110 is 11101111001001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100111101092 and 100100111101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111101117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493296651 + ... + 493499529.

It is an arithmetic number, because the mean of its divisors is an integer number (2714964252000).

Almost surely, 2^{100100111101110} is an apocalyptic number.

100100111101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100111101110 is an abundant number, since it is smaller than the sum of its proper divisors (160536457090890).

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

100100111101110 is a wasteful number, since it uses less digits than its factorization.

100100111101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210790 (or 210787 counting only the distinct ones).

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

Adding to 100100111101110 its reverse (11101111001001), we get a palindrome (111201222102111).

The spelling of 100100111101110 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred ten".