101101101010110 has 384 divisors, whose sum is σ = 282171168639360. Its totient is φ = 25026224652288.

The previous prime is 101101101010099. The next prime is 101101101010153. The reversal of 101101101010110 is 11010101101101.

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 = 101101101010092 and 101101101010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37766566092 + ... + 37766568768.

It is an arithmetic number, because the mean of its divisors is an integer number (734820751665).

Almost surely, 2^{101101101010110} is an apocalyptic number.

101101101010110 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 101101101010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141085584319680).

101101101010110 is an abundant number, since it is smaller than the sum of its proper divisors (181070067629250).

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

101101101010110 is a wasteful number, since it uses less digits than its factorization.

101101101010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3769 counting only the distinct ones).

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

Adding to 101101101010110 its reverse (11010101101101), we get a palindrome (112111202111211).

Subtracting from 101101101010110 its reverse (11010101101101), we obtain a palindrome (90090999909009).

The spelling of 101101101010110 in words is "one hundred one trillion, one hundred one billion, one hundred one million, ten thousand, one hundred ten".