110110101010011 has 24 divisors (see below), whose sum is σ = 161424076217040. Its totient is φ = 72310079483136.

The previous prime is 110110101009991. The next prime is 110110101010067. The reversal of 110110101010011 is 110010101011011.

It is not a de Polignac number, because 110110101010011 - 2²¹ = 110110098912859 is a prime.

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 = 110110101009975 and 110110101010002.

It is not an unprimeable number, because it can be changed into a prime (110110101010081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42203151 + ... + 44736183.

It is an arithmetic number, because the mean of its divisors is an integer number (6726003175710).

Almost surely, 2^{110110101010011} is an apocalyptic number.

110110101010011 is a deficient number, since it is larger than the sum of its proper divisors (51313975207029).

110110101010011 is a wasteful number, since it uses less digits than its factorization.

110110101010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605195 (or 2605192 counting only the distinct ones).

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

Adding to 110110101010011 its reverse (110010101011011), we get a palindrome (220120202021022).

The spelling of 110110101010011 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, ten thousand, eleven".