10221022102001 has 2 divisors, whose sum is σ = 10221022102002. Its totient is φ = 10221022102000.

The previous prime is 10221022101991. The next prime is 10221022102003. The reversal of 10221022102001 is 10020122012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5461311933025 + 4759710168976 = 2336945^2 + 2181676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221022102001 - 2⁶ = 10221022101937 is a prime.

Together with 10221022102003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10221022102003) 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, 5110511051000 + 5110511051001.

It is an arithmetic number, because the mean of its divisors is an integer number (5110511051001).

Almost surely, 2^{10221022102001} is an apocalyptic number.

It is an amenable number.

10221022102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221022102001 is an equidigital number, since it uses as much as digits as its factorization.

10221022102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221022102001 its reverse (10020122012201), we get a palindrome (20241144114202).

The spelling of 10221022102001 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, one hundred two thousand, one".