100110110110011 has 24 divisors (see below), whose sum is σ = 145245233820960. Its totient is φ = 66444533882496.

The previous prime is 100110110109941. The next prime is 100110110110039. The reversal of 100110110110011 is 110011011011001.

It is not a de Polignac number, because 100110110110011 - 2⁷ = 100110110109883 is a prime.

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 = 100110110109975 and 100110110110002.

It is not an unprimeable number, because it can be changed into a prime (100110110112011) 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, 25182696 + ... + 28885781.

It is an arithmetic number, because the mean of its divisors is an integer number (6051884742540).

Almost surely, 2^{100110110110011} is an apocalyptic number.

100110110110011 is a deficient number, since it is larger than the sum of its proper divisors (45135123710949).

100110110110011 is a wasteful number, since it uses less digits than its factorization.

100110110110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54069395 (or 54069392 counting only the distinct ones).

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

Adding to 100110110110011 its reverse (110011011011001), we get a palindrome (210121121121012).

It can be divided in two parts, 100110110 and 110011, that added together give a square (100220121 = 10011²).

The spelling of 100110110110011 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, eleven".