21001101001201 has 2 divisors, whose sum is σ = 21001101001202. Its totient is φ = 21001101001200.

The previous prime is 21001101001151. The next prime is 21001101001207. The reversal of 21001101001201 is 10210010110012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19647508367601 + 1353592633600 = 4432551^2 + 1163440^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001101001201 - 2³⁷ = 20863662047729 is a prime.

It is not a weakly prime, because it can be changed into another prime (21001101001207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500550500600 + 10500550500601.

It is an arithmetic number, because the mean of its divisors is an integer number (10500550500601).

Almost surely, 2^{21001101001201} is an apocalyptic number.

It is an amenable number.

21001101001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001101001201 is an equidigital number, since it uses as much as digits as its factorization.

21001101001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21001101001201 its reverse (10210010110012), we get a palindrome (31211111111213).

The spelling of 21001101001201 in words is "twenty-one trillion, one billion, one hundred one million, one thousand, two hundred one".