100113212321 has 2 divisors, whose sum is σ = 100113212322. Its totient is φ = 100113212320.

The previous prime is 100113212317. The next prime is 100113212351. The reversal of 100113212321 is 123212311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53872731025 + 46240481296 = 232105^2 + 215036^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113212321 - 2² = 100113212317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100113212321.

It is not a weakly prime, because it can be changed into another prime (100113212351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056606160 + 50056606161.

It is an arithmetic number, because the mean of its divisors is an integer number (50056606161).

Almost surely, 2^100113212321 is an apocalyptic number.

It is an amenable number.

100113212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113212321 is an equidigital number, since it uses as much as digits as its factorization.

100113212321 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 17.

Adding to 100113212321 its reverse (123212311001), we get a palindrome (223325523322).

The spelling of 100113212321 in words is "one hundred billion, one hundred thirteen million, two hundred twelve thousand, three hundred twenty-one".