20212001101001 has 2 divisors, whose sum is σ = 20212001101002. Its totient is φ = 20212001101000.

The previous prime is 20212001100971. The next prime is 20212001101007. The reversal of 20212001101001 is 10010110021202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14617806408976 + 5594194692025 = 3823324^2 + 2365205^2 .

It is a cyclic number.

It is not a de Polignac number, because 20212001101001 - 2¹⁰ = 20212001099977 is a prime.

It is not a weakly prime, because it can be changed into another prime (20212001101007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10106000550500 + 10106000550501.

It is an arithmetic number, because the mean of its divisors is an integer number (10106000550501).

Almost surely, 2^{20212001101001} is an apocalyptic number.

It is an amenable number.

20212001101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20212001101001 is an equidigital number, since it uses as much as digits as its factorization.

20212001101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20212001101001 its reverse (10010110021202), we get a palindrome (30222111122203).

The spelling of 20212001101001 in words is "twenty trillion, two hundred twelve billion, one million, one hundred one thousand, one".