110110120202101 has 2 divisors, whose sum is σ = 110110120202102. Its totient is φ = 110110120202100.

The previous prime is 110110120202083. The next prime is 110110120202123. The reversal of 110110120202101 is 101202021011011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105148925266225 + 4961194935876 = 10254215^2 + 2227374^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110120202101 - 2³⁵ = 110075760463733 is a prime.

It is a super-2 number, since 2×110110120202101² (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 (110110120202141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055060101050 + 55055060101051.

It is an arithmetic number, because the mean of its divisors is an integer number (55055060101051).

Almost surely, 2^{110110120202101} is an apocalyptic number.

It is an amenable number.

110110120202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110120202101 is an equidigital number, since it uses as much as digits as its factorization.

110110120202101 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 13.

Adding to 110110120202101 its reverse (101202021011011), we get a palindrome (211312141213112).

The spelling of 110110120202101 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty million, two hundred two thousand, one hundred one".