10222121002221 has 6 divisors (see below), whose sum is σ = 14765285892110. Its totient is φ = 6814747334808.

The previous prime is 10222121002193. The next prime is 10222121002231. The reversal of 10222121002221 is 12220012122201.

It is a happy number.

10222121002221 is a `hidden beast` number, since 10 + 2 + 221 + 210 + 0 + 2 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6467555973321 + 3754565028900 = 2543139^2 + 1937670^2 .

It is not a de Polignac number, because 10222121002221 - 2¹⁵ = 10222120969453 is a prime.

It is a super-2 number, since 2×10222121002221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10222121002194 and 10222121002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222121002231) 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 5 ways as a sum of consecutive naturals, for example, 567895611226 + ... + 567895611243.

Almost surely, 2^{10222121002221} is an apocalyptic number.

It is an amenable number.

10222121002221 is a deficient number, since it is larger than the sum of its proper divisors (4543164889889).

10222121002221 is a wasteful number, since it uses less digits than its factorization.

10222121002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135791222475 (or 1135791222472 counting only the distinct ones).

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

Adding to 10222121002221 its reverse (12220012122201), we get a palindrome (22442133124422).

The spelling of 10222121002221 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, two thousand, two hundred twenty-one".