110100022101101 has 16 divisors (see below), whose sum is σ = 112442079108480. Its totient is φ = 107783064668160.

The previous prime is 110100022101071. The next prime is 110100022101191. The reversal of 110100022101101 is 101101220001011.

It is a de Polignac number, because none of the positive numbers 2^k-110100022101101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100022101191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715395 + ... + 15085536.

It is an arithmetic number, because the mean of its divisors is an integer number (7027629944280).

Almost surely, 2^{110100022101101} is an apocalyptic number.

It is an amenable number.

110100022101101 is a deficient number, since it is larger than the sum of its proper divisors (2342057007379).

110100022101101 is a wasteful number, since it uses less digits than its factorization.

110100022101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17801636.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110100022101101 its reverse (101101220001011), we get a palindrome (211201242102112).

The spelling of 110100022101101 in words is "one hundred ten trillion, one hundred billion, twenty-two million, one hundred one thousand, one hundred one".