13101122101 has 2 divisors, whose sum is σ = 13101122102. Its totient is φ = 13101122100.

The previous prime is 13101122093. The next prime is 13101122107. The reversal of 13101122101 is 10122110131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12798396900 + 302725201 = 113130^2 + 17399^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101122101 - 2³ = 13101122093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13101122107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550561050 + 6550561051.

It is an arithmetic number, because the mean of its divisors is an integer number (6550561051).

Almost surely, 2^13101122101 is an apocalyptic number.

It is an amenable number.

13101122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101122101 is an equidigital number, since it uses as much as digits as its factorization.

13101122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 13101122101 its reverse (10122110131), we get a palindrome (23223232232).

The spelling of 13101122101 in words is "thirteen billion, one hundred one million, one hundred twenty-two thousand, one hundred one".