221011022122000 has 160 divisors (see below), whose sum is σ = 583453728000000. Its totient is φ = 80303288832000.

The previous prime is 221011022121991. The next prime is 221011022122019. The reversal of 221011022122000 is 221220110122.

It is a happy number.

It is a super-4 number, since 4×221011022122000⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 31 ways as a sum of consecutive naturals, for example, 23456401 + ... + 31499599.

It is an arithmetic number, because the mean of its divisors is an integer number (3646585800000).

Almost surely, 2^{221011022122000} is an apocalyptic number.

221011022122000 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 221011022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291726864000000).

221011022122000 is an abundant number, since it is smaller than the sum of its proper divisors (362442705878000).

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

221011022122000 is a wasteful number, since it uses less digits than its factorization.

221011022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044482 (or 8044466 counting only the distinct ones).

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

Adding to 221011022122000 its reverse (221220110122), we get a palindrome (221232242232122).

The spelling of 221011022122000 in words is "two hundred twenty-one trillion, eleven billion, twenty-two million, one hundred twenty-two thousand".