10221200220222 has 96 divisors (see below), whose sum is σ = 22829583718656. Its totient is φ = 3303932486400.

The previous prime is 10221200220199. The next prime is 10221200220263. The reversal of 10221200220222 is 22202200212201.

10221200220222 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 200 + 220 + 222 = 666.

It is a super-2 number, since 2×10221200220222² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221200220195 and 10221200220204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18648093 + ... + 19188375.

It is an arithmetic number, because the mean of its divisors is an integer number (237808163736).

Almost surely, 2^{10221200220222} is an apocalyptic number.

10221200220222 is an abundant number, since it is smaller than the sum of its proper divisors (12608383498434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221200220222 is a wasteful number, since it uses less digits than its factorization.

10221200220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540606 (or 540603 counting only the distinct ones).

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

Adding to 10221200220222 its reverse (22202200212201), we get a palindrome (32423400432423).

The spelling of 10221200220222 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred twenty thousand, two hundred twenty-two".