100111011000011 has 16 divisors (see below), whose sum is σ = 109228484383200. Its totient is φ = 90996284321280.

The previous prime is 100111011000001. The next prime is 100111011000043. The reversal of 100111011000011 is 110000110111001.

It is a cyclic number.

It is not a de Polignac number, because 100111011000011 - 2⁴⁶ = 29742266822347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111011000001) 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, 3680944265 + ... + 3680971461.

It is an arithmetic number, because the mean of its divisors is an integer number (6826780273950).

Almost surely, 2^{100111011000011} is an apocalyptic number.

100111011000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111011000011 is a deficient number, since it is larger than the sum of its proper divisors (9117473383189).

100111011000011 is a wasteful number, since it uses less digits than its factorization.

100111011000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65374.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111011000011 its reverse (110000110111001), we get a palindrome (210111121111012).

The spelling of 100111011000011 in words is "one hundred trillion, one hundred eleven billion, eleven million, eleven", and thus it is an aban number.