10221211221000 has 256 divisors, whose sum is σ = 35451121305600. Its totient is φ = 2434829184000.

The previous prime is 10221211220963. The next prime is 10221211221007. The reversal of 10221211221000 is 12211212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10221211221007) 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 63 ways as a sum of consecutive naturals, for example, 3018135 + ... + 5436134.

It is an arithmetic number, because the mean of its divisors is an integer number (138480942600).

Almost surely, 2^{10221211221000} is an apocalyptic number.

10221211221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221211221000 is an abundant number, since it is smaller than the sum of its proper divisors (25229910084600).

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

10221211221000 is a wasteful number, since it uses less digits than its factorization.

10221211221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454337 (or 8454323 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221211221000 its reverse (12211212201), we get a palindrome (10233422433201).

The spelling of 10221211221000 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand".