221022010111000 has 128 divisors (see below), whose sum is σ = 591227363750400. Its totient is φ = 75759569827200.

The previous prime is 221022010110973. The next prime is 221022010111003. The reversal of 221022010111000 is 111010220122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022010111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23308231 + ... + 31389769.

It is an arithmetic number, because the mean of its divisors is an integer number (4618963779300).

Almost surely, 2^{221022010111000} is an apocalyptic number.

221022010111000 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 221022010111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295613681875200).

221022010111000 is an abundant number, since it is smaller than the sum of its proper divisors (370205353639400).

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

221022010111000 is a wasteful number, since it uses less digits than its factorization.

221022010111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085474 (or 8085460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221022010111000 its reverse (111010220122), we get a palindrome (221133020331122).

The spelling of 221022010111000 in words is "two hundred twenty-one trillion, twenty-two billion, ten million, one hundred eleven thousand".