100000011000111 has 64 divisors (see below), whose sum is σ = 141739447449600. Its totient is φ = 62632289166336.

The previous prime is 100000011000089. The next prime is 100000011000121. The reversal of 100000011000111 is 111000110000001.

It is not a de Polignac number, because 100000011000111 - 2⁷ = 100000010999983 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000011000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000011000121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132118780 + ... + 132873518.

It is an arithmetic number, because the mean of its divisors is an integer number (2214678866400).

Almost surely, 2^{100000011000111} is an apocalyptic number.

100000011000111 is a deficient number, since it is larger than the sum of its proper divisors (41739436449489).

100000011000111 is a wasteful number, since it uses less digits than its factorization.

100000011000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755168.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100000011000111 its reverse (111000110000001), we get a palindrome (211000121000112).

The spelling of 100000011000111 in words is "one hundred trillion, eleven million, one hundred eleven", and thus it is an aban number.