100111001000011 has 16 divisors (see below), whose sum is σ = 104520112624800. Its totient is φ = 95766353417728.

The previous prime is 100111000999949. The next prime is 100111001000053. The reversal of 100111001000011 is 110000100111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111001000011 - 2⁷ = 100111000999883 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111000999958 and 100111001000003.

It is not an unprimeable number, because it can be changed into a prime (100111001004011) 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, 2528625 + ... + 14374141.

It is an arithmetic number, because the mean of its divisors is an integer number (6532507039050).

Almost surely, 2^{100111001000011} is an apocalyptic number.

100111001000011 is a deficient number, since it is larger than the sum of its proper divisors (4409111624789).

100111001000011 is a wasteful number, since it uses less digits than its factorization.

100111001000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11848238.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111001000011 its reverse (110000100111001), we get a palindrome (210111101111012).

The spelling of 100111001000011 in words is "one hundred trillion, one hundred eleven billion, one million, eleven", and thus it is an aban number.