101011111000111 has 8 divisors (see below), whose sum is σ = 108807786887184. Its totient is φ = 93218233745280.

The previous prime is 101011111000081. The next prime is 101011111000153. The reversal of 101011111000111 is 111000111110101.

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 101011111000111 - 2¹³ = 101011110991919 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 (101011111007111) 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, 949602826 + ... + 949709191.

It is an arithmetic number, because the mean of its divisors is an integer number (13600973360898).

Almost surely, 2^{101011111000111} is an apocalyptic number.

101011111000111 is a deficient number, since it is larger than the sum of its proper divisors (7796675887073).

101011111000111 is a wasteful number, since it uses less digits than its factorization.

101011111000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899316121.

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

Adding to 101011111000111 its reverse (111000111110101), we get a palindrome (212011222110212).

The spelling of 101011111000111 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred eleven", and thus it is an aban number.