100201123013 has 2 divisors, whose sum is σ = 100201123014. Its totient is φ = 100201123012.

The previous prime is 100201123007. The next prime is 100201123063. The reversal of 100201123013 is 310321102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70075619524 + 30125503489 = 264718^2 + 173567^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201123013 - 2¹⁶ = 100201057477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201123003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100561506 + 50100561507.

It is an arithmetic number, because the mean of its divisors is an integer number (50100561507).

Almost surely, 2^100201123013 is an apocalyptic number.

It is an amenable number.

100201123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201123013 is an equidigital number, since it uses as much as digits as its factorization.

100201123013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100201123013 its reverse (310321102001), we get a palindrome (410522225014).

The spelling of 100201123013 in words is "one hundred billion, two hundred one million, one hundred twenty-three thousand, thirteen".