110122122101 has 2 divisors, whose sum is σ = 110122122102. Its totient is φ = 110122122100.

The previous prime is 110122122067. The next prime is 110122122107. The reversal of 110122122101 is 101221221011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78161621476 + 31960500625 = 279574^2 + 178775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110122122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110122122107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061061050 + 55061061051.

It is an arithmetic number, because the mean of its divisors is an integer number (55061061051).

Almost surely, 2^110122122101 is an apocalyptic number.

It is an amenable number.

110122122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122122101 is an equidigital number, since it uses as much as digits as its factorization.

110122122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110122122101 its reverse (101221221011), we get a palindrome (211343343112).

The spelling of 110122122101 in words is "one hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".