20130103022101 has 2 divisors, whose sum is σ = 20130103022102. Its totient is φ = 20130103022100.

The previous prime is 20130103022039. The next prime is 20130103022123. The reversal of 20130103022101 is 10122030103102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13425115840900 + 6704987181201 = 3664030^2 + 2589399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20130103022101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20130103022171) 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, 10065051511050 + 10065051511051.

It is an arithmetic number, because the mean of its divisors is an integer number (10065051511051).

Almost surely, 2^{20130103022101} is an apocalyptic number.

It is an amenable number.

20130103022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20130103022101 is an equidigital number, since it uses as much as digits as its factorization.

20130103022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20130103022101 its reverse (10122030103102), we get a palindrome (30252133125203).

The spelling of 20130103022101 in words is "twenty trillion, one hundred thirty billion, one hundred three million, twenty-two thousand, one hundred one".