21000201021001 has 2 divisors, whose sum is σ = 21000201021002. Its totient is φ = 21000201021000.

The previous prime is 21000201020983. The next prime is 21000201021029. The reversal of 21000201021001 is 10012010200012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13050705355776 + 7949495665225 = 3612576^2 + 2819485^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000201021001 - 2¹⁹ = 21000200496713 is a prime.

It is not a weakly prime, because it can be changed into another prime (21000201021091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500100510500 + 10500100510501.

It is an arithmetic number, because the mean of its divisors is an integer number (10500100510501).

Almost surely, 2^{21000201021001} is an apocalyptic number.

It is an amenable number.

21000201021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000201021001 is an equidigital number, since it uses as much as digits as its factorization.

21000201021001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21000201021001 its reverse (10012010200012), we get a palindrome (31012211221013).

The spelling of 21000201021001 in words is "twenty-one trillion, two hundred one million, twenty-one thousand, one".