110122100020101 has 64 divisors (see below), whose sum is σ = 161725380526080. Its totient is φ = 66228287178240.

The previous prime is 110122100020087. The next prime is 110122100020249. The reversal of 110122100020101 is 101020001221011.

It is not a de Polignac number, because 110122100020101 - 2¹³ = 110122100011909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122100020001) 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 63 ways as a sum of consecutive naturals, for example, 11272602345 + ... + 11272612113.

It is an arithmetic number, because the mean of its divisors is an integer number (2526959070720).

Almost surely, 2^{110122100020101} is an apocalyptic number.

It is an amenable number.

110122100020101 is a deficient number, since it is larger than the sum of its proper divisors (51603280505979).

110122100020101 is a wasteful number, since it uses less digits than its factorization.

110122100020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18226.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110122100020101 its reverse (101020001221011), we get a palindrome (211142101241112).

The spelling of 110122100020101 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred million, twenty thousand, one hundred one".