21352525201001 has 2 divisors, whose sum is σ = 21352525201002. Its totient is φ = 21352525201000.

The previous prime is 21352525200991. The next prime is 21352525201003. The reversal of 21352525201001 is 10010252525312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15378162250000 + 5974362951001 = 3921500^2 + 2444251^2 .

It is a cyclic number.

It is not a de Polignac number, because 21352525201001 - 2²⁶ = 21352458092137 is a prime.

Together with 21352525201003, 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 (21352525201003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10676262600500 + 10676262600501.

It is an arithmetic number, because the mean of its divisors is an integer number (10676262600501).

Almost surely, 2^{21352525201001} is an apocalyptic number.

It is an amenable number.

21352525201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21352525201001 is an equidigital number, since it uses as much as digits as its factorization.

21352525201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 21352525201001 its reverse (10010252525312), we get a palindrome (31362777726313).

The spelling of 21352525201001 in words is "twenty-one trillion, three hundred fifty-two billion, five hundred twenty-five million, two hundred one thousand, one".