221122022010000 has 200 divisors, whose sum is σ = 713882795630400. Its totient is φ = 58959972288000.

The previous prime is 221122022009983. The next prime is 221122022010013. The reversal of 221122022010000 is 10220221122.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303626301 + ... + 304353699.

It is an arithmetic number, because the mean of its divisors is an integer number (3569413978152).

Almost surely, 2^{221122022010000} is an apocalyptic number.

221122022010000 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 221122022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356941397815200).

221122022010000 is an abundant number, since it is smaller than the sum of its proper divisors (492760773620400).

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

221122022010000 is a wasteful number, since it uses less digits than its factorization.

221122022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737563 (or 737542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221122022010000 its reverse (10220221122), we get a palindrome (221132242231122).

The spelling of 221122022010000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twenty-two million, ten thousand".