100011100111110 has 128 divisors (see below), whose sum is σ = 267203323209600. Its totient is φ = 26618967429120.

The previous prime is 100011100111073. The next prime is 100011100111123. The reversal of 100011100111110 is 11111001110001.

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 = 100011100111092 and 100011100111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312639726 + ... + 312959454.

It is an arithmetic number, because the mean of its divisors is an integer number (2087525962575).

Almost surely, 2^{100011100111110} is an apocalyptic number.

100011100111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011100111110 is an abundant number, since it is smaller than the sum of its proper divisors (167192223098490).

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

100011100111110 is a wasteful number, since it uses less digits than its factorization.

100011100111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321943 (or 321937 counting only the distinct ones).

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

Adding to 100011100111110 its reverse (11111001110001), we get a palindrome (111122101221111).

The spelling of 100011100111110 in words is "one hundred trillion, eleven billion, one hundred million, one hundred eleven thousand, one hundred ten".