101101011100110 has 96 divisors (see below), whose sum is σ = 300415996108800. Its totient is φ = 23108682297024.

The previous prime is 101101011100039. The next prime is 101101011100127. The reversal of 101101011100110 is 11001110101101.

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 = 101101011100092 and 101101011100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188671341 + ... + 189206439.

It is an arithmetic number, because the mean of its divisors is an integer number (3129333292800).

Almost surely, 2^{101101011100110} is an apocalyptic number.

101101011100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101011100110 is an abundant number, since it is smaller than the sum of its proper divisors (199314985008690).

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

101101011100110 is a wasteful number, since it uses less digits than its factorization.

101101011100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835022 (or 835019 counting only the distinct ones).

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

Adding to 101101011100110 its reverse (11001110101101), we get a palindrome (112102121201211).

Subtracting from 101101011100110 its reverse (11001110101101), we obtain a palindrome (90099900999009).

The spelling of 101101011100110 in words is "one hundred one trillion, one hundred one billion, eleven million, one hundred thousand, one hundred ten".