22121010221201 has 8 divisors (see below), whose sum is σ = 22145759625000. Its totient is φ = 22096267270272.

The previous prime is 22121010221159. The next prime is 22121010221213. The reversal of 22121010221201 is 10212201012122.

It can be written as a sum of positive squares in 4 ways, for example, as 7176098022976 + 14944912198225 = 2678824^2 + 3865865^2 .

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 22121010221201 - 2³⁴ = 22103830352017 is a prime.

It is a super-2 number, since 2×22121010221201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22121010221201.

It is not an unprimeable number, because it can be changed into a prime (22121010221291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5263175 + ... + 8481923.

It is an arithmetic number, because the mean of its divisors is an integer number (2768219953125).

Almost surely, 2^{22121010221201} is an apocalyptic number.

It is an amenable number.

22121010221201 is a deficient number, since it is larger than the sum of its proper divisors (24749403799).

22121010221201 is a wasteful number, since it uses less digits than its factorization.

22121010221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226435.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22121010221201 its reverse (10212201012122), we get a palindrome (32333211233323).

The spelling of 22121010221201 in words is "twenty-two trillion, one hundred twenty-one billion, ten million, two hundred twenty-one thousand, two hundred one".