21142021424401 has 2 divisors, whose sum is σ = 21142021424402. Its totient is φ = 21142021424400.

The previous prime is 21142021424389. The next prime is 21142021424437. The reversal of 21142021424401 is 10442412024112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20523156002001 + 618865422400 = 4530249^2 + 786680^2 .

It is a cyclic number.

It is not a de Polignac number, because 21142021424401 - 2¹³ = 21142021416209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21142021424401.

It is not a weakly prime, because it can be changed into another prime (21142021421401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10571010712200 + 10571010712201.

It is an arithmetic number, because the mean of its divisors is an integer number (10571010712201).

Almost surely, 2^{21142021424401} is an apocalyptic number.

It is an amenable number.

21142021424401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21142021424401 is an equidigital number, since it uses as much as digits as its factorization.

21142021424401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 21142021424401 its reverse (10442412024112), we get a palindrome (31584433448513).

The spelling of 21142021424401 in words is "twenty-one trillion, one hundred forty-two billion, twenty-one million, four hundred twenty-four thousand, four hundred one".