22222022102001 has 12 divisors (see below), whose sum is σ = 32098520612340. Its totient is φ = 14814660981600.

The previous prime is 22222022101969. The next prime is 22222022102041. The reversal of 22222022102001 is 10020122022222.

22222022102001 is a `hidden beast` number, since 2 + 22 + 220 + 221 + 0 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11513813026401 + 10708209075600 = 3393201^2 + 3272340^2 .

It is not a de Polignac number, because 22222022102001 - 2⁵ = 22222022101969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22222022102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8259951 + ... + 10614651.

It is an arithmetic number, because the mean of its divisors is an integer number (2674876717695).

Almost surely, 2^{22222022102001} is an apocalyptic number.

It is an amenable number.

22222022102001 is a deficient number, since it is larger than the sum of its proper divisors (9876498510339).

22222022102001 is a wasteful number, since it uses less digits than its factorization.

22222022102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403296 (or 3403293 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22222022102001 its reverse (10020122022222), we get a palindrome (32242144124223).

The spelling of 22222022102001 in words is "twenty-two trillion, two hundred twenty-two billion, twenty-two million, one hundred two thousand, one".