100010111001111 has 48 divisors (see below), whose sum is σ = 149301008356864. Its totient is φ = 64461580615872.

The previous prime is 100010111001103. The next prime is 100010111001113. The reversal of 100010111001111 is 111100111010001.

It is not a de Polignac number, because 100010111001111 - 2³ = 100010111001103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

100010111001111 is a modest number, since divided by 11001111 gives 1000101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100010111001093 and 100010111001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010111001113) 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, 299833350 + ... + 300166716.

Almost surely, 2^{100010111001111} is an apocalyptic number.

100010111001111 is a deficient number, since it is larger than the sum of its proper divisors (49290897355753).

100010111001111 is a wasteful number, since it uses less digits than its factorization.

100010111001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339100 (or 339097 counting only the distinct ones).

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

Adding to 100010111001111 its reverse (111100111010001), we get a palindrome (211110222011112).

The spelling of 100010111001111 in words is "one hundred trillion, ten billion, one hundred eleven million, one thousand, one hundred eleven".