100223121013 has 2 divisors, whose sum is σ = 100223121014. Its totient is φ = 100223121012.

The previous prime is 100223120969. The next prime is 100223121017. The reversal of 100223121013 is 310121322001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100174149009 + 48972004 = 316503^2 + 6998^2 .

It is an emirp because it is prime and its reverse (310121322001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100223121013 - 2¹⁷ = 100222989941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100223121017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111560506 + 50111560507.

It is an arithmetic number, because the mean of its divisors is an integer number (50111560507).

Almost surely, 2^100223121013 is an apocalyptic number.

It is an amenable number.

100223121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100223121013 is an equidigital number, since it uses as much as digits as its factorization.

100223121013 is an evil number, because the sum of its binary digits is even.

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

Adding to 100223121013 its reverse (310121322001), we get a palindrome (410344443014).

The spelling of 100223121013 in words is "one hundred billion, two hundred twenty-three million, one hundred twenty-one thousand, thirteen".