21142322214401 has 2 divisors, whose sum is σ = 21142322214402. Its totient is φ = 21142322214400.

The previous prime is 21142322214367. The next prime is 21142322214473. The reversal of 21142322214401 is 10441222324112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19075056250000 + 2067265964401 = 4367500^2 + 1437799^2 .

It is a cyclic number.

It is not a de Polignac number, because 21142322214401 - 2²⁶ = 21142255105537 is a prime.

It is not a weakly prime, because it can be changed into another prime (21142322214301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10571161107200 + 10571161107201.

It is an arithmetic number, because the mean of its divisors is an integer number (10571161107201).

Almost surely, 2^{21142322214401} is an apocalyptic number.

It is an amenable number.

21142322214401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21142322214401 is an equidigital number, since it uses as much as digits as its factorization.

21142322214401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 21142322214401 its reverse (10441222324112), we get a palindrome (31583544538513).

The spelling of 21142322214401 in words is "twenty-one trillion, one hundred forty-two billion, three hundred twenty-two million, two hundred fourteen thousand, four hundred one".