100821042318481 has 2 divisors, whose sum is σ = 100821042318482. Its totient is φ = 100821042318480.

The previous prime is 100821042318473. The next prime is 100821042318487. The reversal of 100821042318481 is 184813240128001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99305211040000 + 1515831278481 = 9965200^2 + 1231191^2 .

It is a cyclic number.

It is not a de Polignac number, because 100821042318481 - 2³ = 100821042318473 is a prime.

It is a super-2 number, since 2×100821042318481² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100821042318487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50410521159240 + 50410521159241.

It is an arithmetic number, because the mean of its divisors is an integer number (50410521159241).

Almost surely, 2^{100821042318481} is an apocalyptic number.

It is an amenable number.

100821042318481 is a deficient number, since it is larger than the sum of its proper divisors (1).

100821042318481 is an equidigital number, since it uses as much as digits as its factorization.

100821042318481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 100821042318481 in words is "one hundred trillion, eight hundred twenty-one billion, forty-two million, three hundred eighteen thousand, four hundred eighty-one".