10101101110110 has 64 divisors (see below), whose sum is σ = 26954834607360. Its totient is φ = 2691770464800.

The previous prime is 10101101110081. The next prime is 10101101110117. The reversal of 10101101110110 is 1101110110101.

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 = 10101101110092 and 10101101110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101110117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12499852 + ... + 13283391.

It is an arithmetic number, because the mean of its divisors is an integer number (421169290740).

Almost surely, 2^{10101101110110} is an apocalyptic number.

10101101110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101101110110 is an abundant number, since it is smaller than the sum of its proper divisors (16853733497250).

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

10101101110110 is a wasteful number, since it uses less digits than its factorization.

10101101110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25784710 (or 25784704 counting only the distinct ones).

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

Adding to 10101101110110 its reverse (1101110110101), we get a palindrome (11202211220211).

The spelling of 10101101110110 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred ten".