20113121232101 has 2 divisors, whose sum is σ = 20113121232102. Its totient is φ = 20113121232100.

The previous prime is 20113121232041. The next prime is 20113121232151. The reversal of 20113121232101 is 10123212131102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20109403891201 + 3717340900 = 4484351^2 + 60970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20113121232101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20113121232151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056560616050 + 10056560616051.

It is an arithmetic number, because the mean of its divisors is an integer number (10056560616051).

Almost surely, 2^{20113121232101} is an apocalyptic number.

It is an amenable number.

20113121232101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20113121232101 is an equidigital number, since it uses as much as digits as its factorization.

20113121232101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 20113121232101 its reverse (10123212131102), we get a palindrome (30236333363203).

The spelling of 20113121232101 in words is "twenty trillion, one hundred thirteen billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred one".