212101412401 has 2 divisors, whose sum is σ = 212101412402. Its totient is φ = 212101412400.

The previous prime is 212101412377. The next prime is 212101412431. The reversal of 212101412401 is 104214101212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206821210176 + 5280202225 = 454776^2 + 72665^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101412401 - 2⁷ = 212101412273 is a prime.

It is not a weakly prime, because it can be changed into another prime (212101412431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050706200 + 106050706201.

It is an arithmetic number, because the mean of its divisors is an integer number (106050706201).

Almost surely, 2^212101412401 is an apocalyptic number.

It is an amenable number.

212101412401 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101412401 is an equidigital number, since it uses as much as digits as its factorization.

212101412401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212101412401 its reverse (104214101212), we get a palindrome (316315513613).

The spelling of 212101412401 in words is "two hundred twelve billion, one hundred one million, four hundred twelve thousand, four hundred one".