100111100001111 has 24 divisors (see below), whose sum is σ = 144798004690560. Its totient is φ = 66651644915856.

The previous prime is 100111100001097. The next prime is 100111100001131. The reversal of 100111100001111 is 111100001111001.

It is not a de Polignac number, because 100111100001111 - 2²⁵ = 100111066446679 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 = 100111100001093 and 100111100001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111100001131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44254206 + ... + 46461348.

It is an arithmetic number, because the mean of its divisors is an integer number (6033250195440).

Almost surely, 2^{100111100001111} is an apocalyptic number.

100111100001111 is a deficient number, since it is larger than the sum of its proper divisors (44686904689449).

100111100001111 is a wasteful number, since it uses less digits than its factorization.

100111100001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213875 (or 2213872 counting only the distinct ones).

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

Adding to 100111100001111 its reverse (111100001111001), we get a palindrome (211211101112112).

The spelling of 100111100001111 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one thousand, one hundred eleven".