101011111000110 has 192 divisors, whose sum is σ = 290981819524032. Its totient is φ = 24201215520768.

The previous prime is 101011111000081. The next prime is 101011111000153. The reversal of 101011111000110 is 11000111110101.

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 = 101011111000092 and 101011111000101.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13833004 + ... + 19833663.

It is an arithmetic number, because the mean of its divisors is an integer number (1515530310021).

Almost surely, 2^{101011111000110} is an apocalyptic number.

101011111000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011111000110 is an abundant number, since it is smaller than the sum of its proper divisors (189970708523922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011111000110 is a wasteful number, since it uses less digits than its factorization.

101011111000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666787 (or 33666784 counting only the distinct ones).

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

Adding to 101011111000110 its reverse (11000111110101), we get a palindrome (112011222110211).

The spelling of 101011111000110 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred ten", and thus it is an aban number.