101001111110111 has 4 divisors (see below), whose sum is σ = 101004817192152. Its totient is φ = 100997405028072.

The previous prime is 101001111110089. The next prime is 101001111110131. The reversal of 101001111110111 is 111011111100101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001111110111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001111110092 and 101001111110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001111110131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1853000141 + ... + 1853054646.

It is an arithmetic number, because the mean of its divisors is an integer number (25251204298038).

Almost surely, 2^{101001111110111} is an apocalyptic number.

101001111110111 is a deficient number, since it is larger than the sum of its proper divisors (3706082041).

101001111110111 is an equidigital number, since it uses as much as digits as its factorization.

101001111110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706082040.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101001111110111 its reverse (111011111100101), we get a palindrome (212012222210212).

The spelling of 101001111110111 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred ten thousand, one hundred eleven".