110122011102101 has 2 divisors, whose sum is σ = 110122011102102. Its totient is φ = 110122011102100.

The previous prime is 110122011102073. The next prime is 110122011102109. The reversal of 110122011102101 is 101201110221011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96607373499025 + 13514637603076 = 9828905^2 + 3676226^2 .

It is an emirp because it is prime and its reverse (101201110221011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110122011102101 - 2¹⁴ = 110122011085717 is a prime.

It is a super-2 number, since 2×110122011102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110122011102109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061005551050 + 55061005551051.

It is an arithmetic number, because the mean of its divisors is an integer number (55061005551051).

Almost surely, 2^{110122011102101} is an apocalyptic number.

It is an amenable number.

110122011102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122011102101 is an equidigital number, since it uses as much as digits as its factorization.

110122011102101 is an evil number, because the sum of its binary digits is even.

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

Adding to 110122011102101 its reverse (101201110221011), we get a palindrome (211323121323112).

The spelling of 110122011102101 in words is "one hundred ten trillion, one hundred twenty-two billion, eleven million, one hundred two thousand, one hundred one".