100101111110011 has 16 divisors (see below), whose sum is σ = 109427724746496. Its totient is φ = 90812263500000.

The previous prime is 100101111109991. The next prime is 100101111110149. The reversal of 100101111110011 is 110011111101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101111110011 - 2³³ = 100092521175419 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101111110011.

It is not an unprimeable number, because it can be changed into a prime (100101111111011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149549221 + ... + 150217081.

It is an arithmetic number, because the mean of its divisors is an integer number (6839232796656).

Almost surely, 2^{100101111110011} is an apocalyptic number.

100101111110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101111110011 is a deficient number, since it is larger than the sum of its proper divisors (9326613636485).

100101111110011 is a wasteful number, since it uses less digits than its factorization.

100101111110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696114.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100101111110011 its reverse (110011111101001), we get a palindrome (210112222211012).

The spelling of 100101111110011 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, eleven".