100111001010111 has 192 divisors, whose sum is σ = 184343662863360. Its totient is φ = 50941267752960.

The previous prime is 100111001010077. The next prime is 100111001010121. The reversal of 100111001010111 is 111010100111001.

It is not a de Polignac number, because 100111001010111 - 2²² = 100110996815807 is a prime.

It is a super-4 number, since 4×100111001010111⁴ (a number of 57 digits) contains 4444 as substring.

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 = 100111001010093 and 100111001010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4735833180 + ... + 4735854318.

It is an arithmetic number, because the mean of its divisors is an integer number (960123244080).

Almost surely, 2^{100111001010111} is an apocalyptic number.

100111001010111 is a deficient number, since it is larger than the sum of its proper divisors (84232661853249).

100111001010111 is a wasteful number, since it uses less digits than its factorization.

100111001010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22526 (or 22523 counting only the distinct ones).

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

Adding to 100111001010111 its reverse (111010100111001), we get a palindrome (211121101121112).

The spelling of 100111001010111 in words is "one hundred trillion, one hundred eleven billion, one million, ten thousand, one hundred eleven".