100002211220321 has 2 divisors, whose sum is σ = 100002211220322. Its totient is φ = 100002211220320.

The previous prime is 100002211220213. The next prime is 100002211220369. The reversal of 100002211220321 is 123022112200001.

Together with previous prime (100002211220213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77525471571025 + 22476739649296 = 8804855^2 + 4740964^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002211220321 - 2³⁴ = 99985031351137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100002211220321.

It is not a weakly prime, because it can be changed into another prime (100002211220621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001105610160 + 50001105610161.

It is an arithmetic number, because the mean of its divisors is an integer number (50001105610161).

Almost surely, 2^{100002211220321} is an apocalyptic number.

It is an amenable number.

100002211220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002211220321 is an equidigital number, since it uses as much as digits as its factorization.

100002211220321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100002211220321 its reverse (123022112200001), we get a palindrome (223024323420322).

The spelling of 100002211220321 in words is "one hundred trillion, two billion, two hundred eleven million, two hundred twenty thousand, three hundred twenty-one".