100010111100111 has 20 divisors (see below), whose sum is σ = 150180007849344. Its totient is φ = 66324331958400.

The previous prime is 100010111100071. The next prime is 100010111100131. The reversal of 100010111100111 is 111001111010001.

It is not a de Polignac number, because 100010111100111 - 2⁶ = 100010111100047 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 = 100010111100093 and 100010111100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010111100131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3232164450 + ... + 3232195391.

Almost surely, 2^{100010111100111} is an apocalyptic number.

100010111100111 is a deficient number, since it is larger than the sum of its proper divisors (50169896749233).

100010111100111 is an equidigital number, since it uses as much as digits as its factorization.

100010111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464360044 (or 6464360035 counting only the distinct ones).

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

Adding to 100010111100111 its reverse (111001111010001), we get a palindrome (211011222110112).

The spelling of 100010111100111 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred thousand, one hundred eleven".