110101101222101 has 24 divisors (see below), whose sum is σ = 121837530780000. Its totient is φ = 99415994031200.

The previous prime is 110101101222083. The next prime is 110101101222197. The reversal of 110101101222101 is 101222101101011.

It is not a de Polignac number, because 110101101222101 - 2⁶ = 110101101222037 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 (110101101242101) 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, 481241906 + ... + 481470636.

It is an arithmetic number, because the mean of its divisors is an integer number (5076563782500).

Almost surely, 2^{110101101222101} is an apocalyptic number.

110101101222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101101222101 is a deficient number, since it is larger than the sum of its proper divisors (11736429557899).

110101101222101 is a wasteful number, since it uses less digits than its factorization.

110101101222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255601 (or 255590 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110101101222101 its reverse (101222101101011), we get a palindrome (211323202323112).

The spelling of 110101101222101 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, two hundred twenty-two thousand, one hundred one".