100011111110001 has 96 divisors (see below), whose sum is σ = 182616341293568. Its totient is φ = 51323567016960.

The previous prime is 100011111109993. The next prime is 100011111110023.

100011111110001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100011111110001 - 2³ = 100011111109993 is a prime.

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

100011111110001 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100011111120001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436460781 + ... + 436689861.

Almost surely, 2^{100011111110001} is an apocalyptic number.

It is an amenable number.

100011111110001 is a deficient number, since it is larger than the sum of its proper divisors (82605230183567).

100011111110001 is a wasteful number, since it uses less digits than its factorization.

100011111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243551 (or 243548 counting only the distinct ones).

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

The spelling of 100011111110001 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred ten thousand, one".