100111101010111 has 8 divisors (see below), whose sum is σ = 104623732717920. Its totient is φ = 95611800564192.

The previous prime is 100111101010103. The next prime is 100111101010117. The reversal of 100111101010111 is 111010101111001.

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 100111101010111 - 2³ = 100111101010103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101010117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3332800116 + ... + 3332830153.

It is an arithmetic number, because the mean of its divisors is an integer number (13077966589740).

Almost surely, 2^{100111101010111} is an apocalyptic number.

100111101010111 is a deficient number, since it is larger than the sum of its proper divisors (4512631707809).

100111101010111 is an equidigital number, since it uses as much as digits as its factorization.

100111101010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665630945.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111101010111 its reverse (111010101111001), we get a palindrome (211121202121112).

It can be divided in two parts, 1001 and 11101010111, that multiplied together give a palindrome (11112111121111).

The spelling of 100111101010111 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, ten thousand, one hundred eleven".