10221010041001 has 2 divisors, whose sum is σ = 10221010041002. Its totient is φ = 10221010041000.

The previous prime is 10221010040963. The next prime is 10221010041031. The reversal of 10221010041001 is 10014001012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6481810483600 + 3739199557401 = 2545940^2 + 1933701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221010041001 - 2¹⁹ = 10221009516713 is a prime.

It is a super-3 number, since 3×10221010041001³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10221010041031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505020500 + 5110505020501.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505020501).

Almost surely, 2^{10221010041001} is an apocalyptic number.

It is an amenable number.

10221010041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221010041001 is an equidigital number, since it uses as much as digits as its factorization.

10221010041001 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 13.

Adding to 10221010041001 its reverse (10014001012201), we get a palindrome (20235011053202).

The spelling of 10221010041001 in words is "ten trillion, two hundred twenty-one billion, ten million, forty-one thousand, one".