101101101001110 has 96 divisors (see below), whose sum is σ = 300416201429760. Its totient is φ = 23108707600704.

The previous prime is 101101101001099. The next prime is 101101101001123. The reversal of 101101101001110 is 11100101101101.

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 = 101101101001092 and 101101101001101.

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, 241218589 + ... + 241637351.

It is an arithmetic number, because the mean of its divisors is an integer number (3129335431560).

Almost surely, 2^{101101101001110} is an apocalyptic number.

101101101001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101101001110 is an abundant number, since it is smaller than the sum of its proper divisors (199315100428650).

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

101101101001110 is a wasteful number, since it uses less digits than its factorization.

101101101001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802002 (or 801999 counting only the distinct ones).

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

Adding to 101101101001110 its reverse (11100101101101), we get a palindrome (112201202102211).

Subtracting from 101101101001110 its reverse (11100101101101), we obtain a palindrome (90000999900009).

The spelling of 101101101001110 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one thousand, one hundred ten".