100100202311321 has 2 divisors, whose sum is σ = 100100202311322. Its totient is φ = 100100202311320.

The previous prime is 100100202311299. The next prime is 100100202311327. The reversal of 100100202311321 is 123113202001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68375765633296 + 31724436678025 = 8268964^2 + 5632445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100202311321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100202311321.

It is not a weakly prime, because it can be changed into another prime (100100202311327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050101155660 + 50050101155661.

It is an arithmetic number, because the mean of its divisors is an integer number (50050101155661).

Almost surely, 2^{100100202311321} is an apocalyptic number.

It is an amenable number.

100100202311321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100202311321 is an equidigital number, since it uses as much as digits as its factorization.

100100202311321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100100202311321 its reverse (123113202001001), we get a palindrome (223213404312322).

The spelling of 100100202311321 in words is "one hundred trillion, one hundred billion, two hundred two million, three hundred eleven thousand, three hundred twenty-one".