100110111110010 has 48 divisors (see below), whose sum is σ = 260379149438304. Its totient is φ = 26686505470176.

The previous prime is 100110111109963. The next prime is 100110111110047. The reversal of 100110111110010 is 10011111011001.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100110111109974 and 100110111110001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198166312 + ... + 198670851.

It is an arithmetic number, because the mean of its divisors is an integer number (5424565613298).

Almost surely, 2^{100110111110010} is an apocalyptic number.

100110111110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110111110010 is an abundant number, since it is smaller than the sum of its proper divisors (160269038328294).

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

100110111110010 is a wasteful number, since it uses less digits than its factorization.

100110111110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396839979 (or 396839976 counting only the distinct ones).

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

Adding to 100110111110010 its reverse (10011111011001), we get a palindrome (110121222121011).

Subtracting from 100110111110010 its reverse (10011111011001), we obtain a palindrome (90099000099009).

It can be divided in two parts, 100110111 and 110010, that added together give a square (100220121 = 10011²).

The spelling of 100110111110010 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred ten thousand, ten".