221012220121000 has 256 divisors, whose sum is σ = 645517035072000. Its totient is φ = 68808356352000.

The previous prime is 221012220120973. The next prime is 221012220121013. The reversal of 221012220121000 is 121022210122.

It is a happy number.

It is an unprimeable number.

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, 65892576 + ... + 69165424.

It is an arithmetic number, because the mean of its divisors is an integer number (2521550918250).

Almost surely, 2^{221012220121000} is an apocalyptic number.

221012220121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012220121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322758517536000).

221012220121000 is an abundant number, since it is smaller than the sum of its proper divisors (424504814951000).

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

221012220121000 is a wasteful number, since it uses less digits than its factorization.

221012220121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273765 (or 3273751 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221012220121000 its reverse (121022210122), we get a palindrome (221133242331122).

The spelling of 221012220121000 in words is "two hundred twenty-one trillion, twelve billion, two hundred twenty million, one hundred twenty-one thousand".