10022220121221 has 128 divisors (see below), whose sum is σ = 18560572416000. Its totient is φ = 5192553600000.

The previous prime is 10022220121217. The next prime is 10022220121253. The reversal of 10022220121221 is 12212102222001.

It is a happy number.

10022220121221 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 201 + 21 + 221 = 666.

It is not a de Polignac number, because 10022220121221 - 2² = 10022220121217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022220121194 and 10022220121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022220121261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1495627171 + ... + 1495633871.

It is an arithmetic number, because the mean of its divisors is an integer number (145004472000).

Almost surely, 2^{10022220121221} is an apocalyptic number.

10022220121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022220121221 is a deficient number, since it is larger than the sum of its proper divisors (8538352294779).

10022220121221 is a wasteful number, since it uses less digits than its factorization.

10022220121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8528 (or 8522 counting only the distinct ones).

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

Adding to 10022220121221 its reverse (12212102222001), we get a palindrome (22234322343222).

The spelling of 10022220121221 in words is "ten trillion, twenty-two billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twenty-one".