21222222021000 has 3072 divisors, whose sum is σ = 102250449100800. Its totient is φ = 3973971456000.

The previous prime is 21222222020941. The next prime is 21222222021017. The reversal of 21222222021000 is 12022222212.

21222222021000 is a `hidden beast` number, since 2 + 12 + 222 + 220 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 767 ways as a sum of consecutive naturals, for example, 10459447986 + ... + 10459450014.

It is an arithmetic number, because the mean of its divisors is an integer number (33284651400).

Almost surely, 2^{21222222021000} is an apocalyptic number.

21222222021000 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 21222222021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51125224550400).

21222222021000 is an abundant number, since it is smaller than the sum of its proper divisors (81028227079800).

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

21222222021000 is a wasteful number, since it uses less digits than its factorization.

21222222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21222222021000 its reverse (12022222212), we get a palindrome (21234244243212).

It can be divided in two parts, 212222 and 22021000, that added together give a palindrome (22233222).

The spelling of 21222222021000 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twenty-two million, twenty-one thousand".