101011101100110 has 24 divisors (see below), whose sum is σ = 262628862860520. Its totient is φ = 26936293626672.

The previous prime is 101011101100069. The next prime is 101011101100157. The reversal of 101011101100110 is 11001101110101.

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 = 101011101100092 and 101011101100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561172783800 + ... + 561172783979.

It is an arithmetic number, because the mean of its divisors is an integer number (10942869285855).

Almost surely, 2^{101011101100110} is an apocalyptic number.

101011101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011101100110 is an abundant number, since it is smaller than the sum of its proper divisors (161617761760410).

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

101011101100110 is a wasteful number, since it uses less digits than its factorization.

101011101100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122345567792 (or 1122345567789 counting only the distinct ones).

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

Adding to 101011101100110 its reverse (11001101110101), we get a palindrome (112012202210211).

Subtracting from 101011101100110 its reverse (11001101110101), we obtain a palindrome (90009999990009).

The spelling of 101011101100110 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred thousand, one hundred ten".