101000110101111 has 12 divisors (see below), whose sum is σ = 157111282379688. Its totient is φ = 62153913908304.

The previous prime is 101000110101073. The next prime is 101000110101133. The reversal of 101000110101111 is 111101011000101.

It is not a de Polignac number, because 101000110101111 - 2⁶ = 101000110101047 is a prime.

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 = 101000110101093 and 101000110101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000110101151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431624402025 + ... + 431624402258.

It is an arithmetic number, because the mean of its divisors is an integer number (13092606864974).

Almost surely, 2^{101000110101111} is an apocalyptic number.

101000110101111 is a deficient number, since it is larger than the sum of its proper divisors (56111172278577).

101000110101111 is a wasteful number, since it uses less digits than its factorization.

101000110101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863248804302 (or 863248804299 counting only the distinct ones).

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

Adding to 101000110101111 its reverse (111101011000101), we get a palindrome (212101121101212).

The spelling of 101000110101111 in words is "one hundred one trillion, one hundred ten million, one hundred one thousand, one hundred eleven".