100322251210001 has 2 divisors, whose sum is σ = 100322251210002. Its totient is φ = 100322251210000.

The previous prime is 100322251209979. The next prime is 100322251210021. The reversal of 100322251210001 is 100012152223001.

It is an a-pointer prime, because the next prime (100322251210021) can be obtained adding 100322251210001 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99682252810000 + 639998400001 = 9984100^2 + 799999^2 .

It is an emirp because it is prime and its reverse (100012152223001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100322251210001 - 2⁶ = 100322251209937 is a prime.

It is not a weakly prime, because it can be changed into another prime (100322251210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50161125605000 + 50161125605001.

It is an arithmetic number, because the mean of its divisors is an integer number (50161125605001).

Almost surely, 2^{100322251210001} is an apocalyptic number.

It is an amenable number.

100322251210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100322251210001 is an equidigital number, since it uses as much as digits as its factorization.

100322251210001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 100322251210001 in words is "one hundred trillion, three hundred twenty-two billion, two hundred fifty-one million, two hundred ten thousand, one".