10110102122101 has 2 divisors, whose sum is σ = 10110102122102. Its totient is φ = 10110102122100.

The previous prime is 10110102122093. The next prime is 10110102122207. The reversal of 10110102122101 is 10122120101101.

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., 6425337780625 + 3684764341476 = 2534825^2 + 1919574^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110102122101 - 2³ = 10110102122093 is a prime.

It is a super-2 number, since 2×10110102122101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110102120101) 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, 5055051061050 + 5055051061051.

It is an arithmetic number, because the mean of its divisors is an integer number (5055051061051).

Almost surely, 2^{10110102122101} is an apocalyptic number.

It is an amenable number.

10110102122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110102122101 is an equidigital number, since it uses as much as digits as its factorization.

10110102122101 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 10110102122101 its reverse (10122120101101), we get a palindrome (20232222223202).

The spelling of 10110102122101 in words is "ten trillion, one hundred ten billion, one hundred two million, one hundred twenty-two thousand, one hundred one".