1010100110110 has 128 divisors (see below), whose sum is σ = 2356833669120. Its totient is φ = 302688078336.

The previous prime is 1010100110099. The next prime is 1010100110137. The reversal of 1010100110110 is 110110010101.

It is a happy number.

1010100110110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1010100110093 and 1010100110102.

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, 33406459 + ... + 33436681.

It is an arithmetic number, because the mean of its divisors is an integer number (18412763040).

Almost surely, 2^{1010100110110} is an apocalyptic number.

1010100110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010100110110 is an abundant number, since it is smaller than the sum of its proper divisors (1346733559010).

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

1010100110110 is a wasteful number, since it uses less digits than its factorization.

1010100110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32202.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1010100110110 its reverse (110110010101), we get a palindrome (1120210120211).

The spelling of 1010100110110 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, one hundred ten".