1022122212201 has 24 divisors (see below), whose sum is σ = 1478787375624. Its totient is φ = 680312908800.

The previous prime is 1022122212191. The next prime is 1022122212211.

It is a happy number.

1022122212201 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 221 + 220 + 1 = 666.

1022122212201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1022122212191) and next prime (1022122212211).

It can be written as a sum of positive squares in 4 ways, for example, as 632540264976 + 389581947225 = 795324^2 + 624165^2 .

It is not a de Polignac number, because 1022122212201 - 2⁷ = 1022122212073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022122212211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25031001 + ... + 25071801.

It is an arithmetic number, because the mean of its divisors is an integer number (61616140651).

Almost surely, 2^{1022122212201} is an apocalyptic number.

It is an amenable number.

1022122212201 is a deficient number, since it is larger than the sum of its proper divisors (456665163423).

1022122212201 is a wasteful number, since it uses less digits than its factorization.

1022122212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45241 (or 45238 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 1022122212201 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred one".