2122221431201 has 8 divisors (see below), whose sum is σ = 2130955106280. Its totient is φ = 2113497896832.

The previous prime is 2122221431189. The next prime is 2122221431233. The reversal of 2122221431201 is 1021341222212.

It can be written as a sum of positive squares in 4 ways, for example, as 975351784801 + 1146869646400 = 987599^2 + 1070920^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122221431201 - 2³⁴ = 2105041562017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122221431261) 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 in 7 ways as a sum of consecutive naturals, for example, 2115620 + ... + 2953013.

It is an arithmetic number, because the mean of its divisors is an integer number (266369388285).

Almost surely, 2^{2122221431201} is an apocalyptic number.

It is an amenable number.

2122221431201 is a deficient number, since it is larger than the sum of its proper divisors (8733675079).

2122221431201 is a wasteful number, since it uses less digits than its factorization.

2122221431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070355.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2122221431201 its reverse (1021341222212), we get a palindrome (3143562653413).

The spelling of 2122221431201 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, four hundred thirty-one thousand, two hundred one".