22121222201001 has 64 divisors (see below), whose sum is σ = 40859616614400. Its totient is φ = 11491320830400.

The previous prime is 22121222200993. The next prime is 22121222201027. The reversal of 22121222201001 is 10010222212122.

It is a happy number.

22121222201001 is a `hidden beast` number, since 221 + 2 + 122 + 220 + 100 + 1 = 666.

It is not a de Polignac number, because 22121222201001 - 2³ = 22121222200993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22121222201101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202500286 + ... + 202609496.

It is an arithmetic number, because the mean of its divisors is an integer number (638431509600).

Almost surely, 2^{22121222201001} is an apocalyptic number.

22121222201001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22121222201001 is a deficient number, since it is larger than the sum of its proper divisors (18738394413399).

22121222201001 is a wasteful number, since it uses less digits than its factorization.

22121222201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206667 (or 206661 counting only the distinct ones).

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

Adding to 22121222201001 its reverse (10010222212122), we get a palindrome (32131444413123).

The spelling of 22121222201001 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred one thousand, one".