101011000110111 has 144 divisors (see below), whose sum is σ = 188244902664000. Its totient is φ = 51696071755776.

The previous prime is 101011000110101. The next prime is 101011000110127. The reversal of 101011000110111 is 111011000110101.

It is not a de Polignac number, because 101011000110111 - 2⁶ = 101011000110047 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 = 101011000110093 and 101011000110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75488215 + ... + 76814663.

It is an arithmetic number, because the mean of its divisors is an integer number (1307256268500).

Almost surely, 2^{101011000110111} is an apocalyptic number.

101011000110111 is a deficient number, since it is larger than the sum of its proper divisors (87233902553889).

101011000110111 is a wasteful number, since it uses less digits than its factorization.

101011000110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326878 (or 1326868 counting only the distinct ones).

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

Adding to 101011000110111 its reverse (111011000110101), we get a palindrome (212022000220212).

The spelling of 101011000110111 in words is "one hundred one trillion, eleven billion, one hundred ten thousand, one hundred eleven".