100100010100111 has 8 divisors (see below), whose sum is σ = 114412792310784. Its totient is φ = 85790423081400.

The previous prime is 100100010100109. The next prime is 100100010100151. The reversal of 100100010100111 is 111001010001001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100010100111 - 2¹ = 100100010100109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100010100094 and 100100010100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100010100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798730855 + ... + 798856168.

It is an arithmetic number, because the mean of its divisors is an integer number (14301599038848).

Almost surely, 2^{100100010100111} is an apocalyptic number.

100100010100111 is a deficient number, since it is larger than the sum of its proper divisors (14312782210673).

100100010100111 is an equidigital number, since it uses as much as digits as its factorization.

100100010100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597595981.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100010100111 its reverse (111001010001001), we get a palindrome (211101020101112).

The spelling of 100100010100111 in words is "one hundred trillion, one hundred billion, ten million, one hundred thousand, one hundred eleven".