10022628826221 has 32 divisors (see below), whose sum is σ = 14608238889600. Its totient is φ = 6061881031680.

The previous prime is 10022628826187. The next prime is 10022628826267. The reversal of 10022628826221 is 12262882622001.

It is a happy number.

It is not a de Polignac number, because 10022628826221 - 2³³ = 10014038891629 is a prime.

It is a super-2 number, since 2×10022628826221² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022628826271) 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 31 ways as a sum of consecutive naturals, for example, 65962825 + ... + 66114593.

It is an arithmetic number, because the mean of its divisors is an integer number (456507465300).

Almost surely, 2^{10022628826221} is an apocalyptic number.

10022628826221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022628826221 is a deficient number, since it is larger than the sum of its proper divisors (4585610063379).

10022628826221 is a wasteful number, since it uses less digits than its factorization.

10022628826221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155869.

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 10022628826221 in words is "ten trillion, twenty-two billion, six hundred twenty-eight million, eight hundred twenty-six thousand, two hundred twenty-one".