100101110110011 has 32 divisors (see below), whose sum is σ = 149620365726720. Its totient is φ = 66139061611392.

The previous prime is 100101110110007. The next prime is 100101110110061. The reversal of 100101110110011 is 110011011101001.

100101110110011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100101110110011 - 2² = 100101110110007 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 = 100101110109975 and 100101110110002.

It is not an unprimeable number, because it can be changed into a prime (100101110110061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44618250 + ... + 46808016.

It is an arithmetic number, because the mean of its divisors is an integer number (4675636428960).

Almost surely, 2^{100101110110011} is an apocalyptic number.

100101110110011 is a deficient number, since it is larger than the sum of its proper divisors (49519255616709).

100101110110011 is a wasteful number, since it uses less digits than its factorization.

100101110110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204872 (or 2204866 counting only the distinct ones).

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

Adding to 100101110110011 its reverse (110011011101001), we get a palindrome (210112121211012).

The spelling of 100101110110011 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, eleven".