100021303202201 has 2 divisors, whose sum is σ = 100021303202202. Its totient is φ = 100021303202200.

The previous prime is 100021303202159. The next prime is 100021303202207. The reversal of 100021303202201 is 102202303120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87870919854601 + 12150383347600 = 9373949^2 + 3485740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100021303202201 is a prime.

It is a super-2 number, since 2×100021303202201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100021303202201.

It is not a weakly prime, because it can be changed into another prime (100021303202207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010651601100 + 50010651601101.

It is an arithmetic number, because the mean of its divisors is an integer number (50010651601101).

Almost surely, 2^{100021303202201} is an apocalyptic number.

It is an amenable number.

100021303202201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021303202201 is an equidigital number, since it uses as much as digits as its factorization.

100021303202201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100021303202201 its reverse (102202303120001), we get a palindrome (202223606322202).

The spelling of 100021303202201 in words is "one hundred trillion, twenty-one billion, three hundred three million, two hundred two thousand, two hundred one".