100111110100110 has 24 divisors (see below), whose sum is σ = 260288886260520. Its totient is φ = 26696296026672.

The previous prime is 100111110100091. The next prime is 100111110100151. The reversal of 100111110100110 is 11001011111001.

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 = 100111110100092 and 100111110100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556172833800 + ... + 556172833979.

It is an arithmetic number, because the mean of its divisors is an integer number (10845370260855).

Almost surely, 2^{100111110100110} is an apocalyptic number.

100111110100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111110100110 is an abundant number, since it is smaller than the sum of its proper divisors (160177776160410).

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

100111110100110 is a wasteful number, since it uses less digits than its factorization.

100111110100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112345667792 (or 1112345667789 counting only the distinct ones).

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

Adding to 100111110100110 its reverse (11001011111001), we get a palindrome (111112121211111).

It can be divided in two parts, 1001 and 11110100110, that added together give a palindrome (11110101111).

The spelling of 100111110100110 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred ten".