100011001011111 has 6 divisors (see below), whose sum is σ = 144460334793840. Its totient is φ = 66674000674068.

The previous prime is 100011001011049. The next prime is 100011001011161. The reversal of 100011001011111 is 111110100110001.

It is not a de Polignac number, because 100011001011111 - 2³⁴ = 99993821141927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11112333445679 = 100011001011111 / (1 + 0 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 1 + 1 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100011001011093 and 100011001011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011001011161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5556166722831 + ... + 5556166722848.

It is an arithmetic number, because the mean of its divisors is an integer number (24076722465640).

Almost surely, 2^{100011001011111} is an apocalyptic number.

100011001011111 is a deficient number, since it is larger than the sum of its proper divisors (44449333782729).

100011001011111 is a wasteful number, since it uses less digits than its factorization.

100011001011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112333445685 (or 11112333445682 counting only the distinct ones).

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

Adding to 100011001011111 its reverse (111110100110001), we get a palindrome (211121101121112).

The spelling of 100011001011111 in words is "one hundred trillion, eleven billion, one million, eleven thousand, one hundred eleven".