100012211201321 has 2 divisors, whose sum is σ = 100012211201322. Its totient is φ = 100012211201320.

The previous prime is 100012211201263. The next prime is 100012211201347. The reversal of 100012211201321 is 123102112210001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89419718440000 + 10592492761321 = 9456200^2 + 3254611^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012211201321 - 2⁴² = 95614164690217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100012211201321.

It is not a weakly prime, because it can be changed into another prime (100012211201351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006105600660 + 50006105600661.

It is an arithmetic number, because the mean of its divisors is an integer number (50006105600661).

Almost surely, 2^{100012211201321} is an apocalyptic number.

It is an amenable number.

100012211201321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012211201321 is an equidigital number, since it uses as much as digits as its factorization.

100012211201321 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 17.

Adding to 100012211201321 its reverse (123102112210001), we get a palindrome (223114323411322).

The spelling of 100012211201321 in words is "one hundred trillion, twelve billion, two hundred eleven million, two hundred one thousand, three hundred twenty-one".