101010111100110 has 128 divisors (see below), whose sum is σ = 269802641525760. Its totient is φ = 26891803225728.

The previous prime is 101010111100081. The next prime is 101010111100121. The reversal of 101010111100110 is 11001111010101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101010111100092 and 101010111100101.

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, 2404237464 + ... + 2404279476.

It is an arithmetic number, because the mean of its divisors is an integer number (2107833136920).

Almost surely, 2^{101010111100110} is an apocalyptic number.

101010111100110 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 101010111100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134901320762880).

101010111100110 is an abundant number, since it is smaller than the sum of its proper divisors (168792530425650).

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

101010111100110 is a wasteful number, since it uses less digits than its factorization.

101010111100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56439 (or 56433 counting only the distinct ones).

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

Adding to 101010111100110 its reverse (11001111010101), we get a palindrome (112011222110211).

Subtracting from 101010111100110 its reverse (11001111010101), we obtain a palindrome (90009000090009).

The spelling of 101010111100110 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred thousand, one hundred ten".