20010122121013 has 2 divisors, whose sum is σ = 20010122121014. Its totient is φ = 20010122121012.

The previous prime is 20010122120977. The next prime is 20010122121049. The reversal of 20010122121013 is 31012122101002.

It is a balanced prime because it is at equal distance from previous prime (20010122120977) and next prime (20010122121049).

It can be written as a sum of positive squares in only one way, i.e., 17585131932369 + 2424990188644 = 4193463^2 + 1557238^2 .

It is a cyclic number.

It is not a de Polignac number, because 20010122121013 - 2²⁵ = 20010088566581 is a prime.

It is a super-2 number, since 2×20010122121013² (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 (20010122121113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005061060506 + 10005061060507.

It is an arithmetic number, because the mean of its divisors is an integer number (10005061060507).

Almost surely, 2^{20010122121013} is an apocalyptic number.

It is an amenable number.

20010122121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010122121013 is an equidigital number, since it uses as much as digits as its factorization.

20010122121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20010122121013 its reverse (31012122101002), we get a palindrome (51022244222015).

The spelling of 20010122121013 in words is "twenty trillion, ten billion, one hundred twenty-two million, one hundred twenty-one thousand, thirteen".