100010110011111 has 48 divisors (see below), whose sum is σ = 150875856907776. Its totient is φ = 63717053894208.

The previous prime is 100010110011103. The next prime is 100010110011131. The reversal of 100010110011111 is 111110011010001.

It is not a de Polignac number, because 100010110011111 - 2³ = 100010110011103 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 = 100010110011093 and 100010110011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010110011131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327712296 + ... + 1327787618.

It is an arithmetic number, because the mean of its divisors is an integer number (3143247018912).

Almost surely, 2^{100010110011111} is an apocalyptic number.

100010110011111 is a deficient number, since it is larger than the sum of its proper divisors (50865746896665).

100010110011111 is a wasteful number, since it uses less digits than its factorization.

100010110011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81052 (or 81049 counting only the distinct ones).

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

Adding to 100010110011111 its reverse (111110011010001), we get a palindrome (211120121021112).

The spelling of 100010110011111 in words is "one hundred trillion, ten billion, one hundred ten million, eleven thousand, one hundred eleven".