110202102101101 has 2 divisors, whose sum is σ = 110202102101102. Its totient is φ = 110202102101100.

The previous prime is 110202102101083. The next prime is 110202102101123. The reversal of 110202102101101 is 101101201202011.

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., 104471416707876 + 5730685393225 = 10221126^2 + 2393885^2 .

It is a cyclic number.

It is not a de Polignac number, because 110202102101101 - 2⁷ = 110202102100973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110202102101401) 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 as a sum of consecutive naturals, namely, 55101051050550 + 55101051050551.

It is an arithmetic number, because the mean of its divisors is an integer number (55101051050551).

Almost surely, 2^{110202102101101} is an apocalyptic number.

It is an amenable number.

110202102101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110202102101101 is an equidigital number, since it uses as much as digits as its factorization.

110202102101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110202102101101 its reverse (101101201202011), we get a palindrome (211303303303112).

The spelling of 110202102101101 in words is "one hundred ten trillion, two hundred two billion, one hundred two million, one hundred one thousand, one hundred one".