110101010101011 has 24 divisors (see below), whose sum is σ = 164508087838640. Its totient is φ = 70903080945216.

The previous prime is 110101010101007. The next prime is 110101010101067.

110101010101011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110101010101011 - 2² = 110101010101007 is a prime.

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

110101010101011 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110101010100984 and 110101010101002.

It is not an unprimeable number, because it can be changed into a prime (110101010101091) 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, 1189283440 + ... + 1189376013.

Almost surely, 2^{110101010101011} is an apocalyptic number.

110101010101011 is a deficient number, since it is larger than the sum of its proper divisors (54407077737629).

110101010101011 is a wasteful number, since it uses less digits than its factorization.

110101010101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378659635 (or 2378659632 counting only the distinct ones).

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

The spelling of 110101010101011 in words is "one hundred ten trillion, one hundred one billion, ten million, one hundred one thousand, eleven".