10221200020001 has 2 divisors, whose sum is σ = 10221200020002. Its totient is φ = 10221200020000.

The previous prime is 10221200019977. The next prime is 10221200020027. The reversal of 10221200020001 is 10002000212201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9716929605601 + 504270414400 = 3117199^2 + 710120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221200020001 - 2²⁶ = 10221132911137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221200020061) 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, 5110600010000 + 5110600010001.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600010001).

Almost surely, 2^{10221200020001} is an apocalyptic number.

It is an amenable number.

10221200020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221200020001 is an equidigital number, since it uses as much as digits as its factorization.

10221200020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10221200020001 its reverse (10002000212201), we get a palindrome (20223200232202).

The spelling of 10221200020001 in words is "ten trillion, two hundred twenty-one billion, two hundred million, twenty thousand, one".