221210222021000 has 32 divisors (see below), whose sum is σ = 517631919531480. Its totient is φ = 88484088808000.

The previous prime is 221210222020891. The next prime is 221210222021017. The reversal of 221210222021000 is 120222012122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92398118411236 + 128812103609764 = 9612394^2 + 11349542^2 .

It is a super-2 number, since 2×221210222021000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221210222021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110605110011 + ... + 110605112010.

Almost surely, 2^{221210222021000} is an apocalyptic number.

221210222021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210222021000 is an abundant number, since it is smaller than the sum of its proper divisors (296421697510480).

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

221210222021000 is a wasteful number, since it uses less digits than its factorization.

221210222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221210222042 (or 221210222028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221210222021000 its reverse (120222012122), we get a palindrome (221330444033122).

The spelling of 221210222021000 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twenty-two million, twenty-one thousand".