100100110111110 has 48 divisors (see below), whose sum is σ = 260264254436784. Its totient is φ = 26692955706816.

The previous prime is 100100110110991. The next prime is 100100110111117. The reversal of 100100110111110 is 11111011001001.

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 = 100100110111092 and 100100110111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110111117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2520157 + ... + 14371896.

It is an arithmetic number, because the mean of its divisors is an integer number (5422171967433).

Almost surely, 2^{100100110111110} is an apocalyptic number.

100100110111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100110111110 is an abundant number, since it is smaller than the sum of its proper divisors (160164144325674).

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

100100110111110 is a wasteful number, since it uses less digits than its factorization.

100100110111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957909 (or 16957906 counting only the distinct ones).

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

Adding to 100100110111110 its reverse (11111011001001), we get a palindrome (111211121112111).

The spelling of 100100110111110 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred ten".