101101100101110 has 128 divisors (see below), whose sum is σ = 271121683161600. Its totient is φ = 26808432416640.

The previous prime is 101101100101091. The next prime is 101101100101151. The reversal of 101101100101110 is 11101001101101.

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 = 101101100101092 and 101101100101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1557981765 + ... + 1558046655.

It is an arithmetic number, because the mean of its divisors is an integer number (2118138149700).

Almost surely, 2^{101101100101110} is an apocalyptic number.

101101100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101100101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135560841580800).

101101100101110 is an abundant number, since it is smaller than the sum of its proper divisors (170020583060490).

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

101101100101110 is a wasteful number, since it uses less digits than its factorization.

101101100101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97323 (or 97317 counting only the distinct ones).

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

Adding to 101101100101110 its reverse (11101001101101), we get a palindrome (112202101202211).

Subtracting from 101101100101110 its reverse (11101001101101), we obtain a palindrome (90000099000009).

The spelling of 101101100101110 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred ten".