220022021010000 has 600 divisors, whose sum is σ = 782797315300000. Its totient is φ = 53195345280000.

The previous prime is 220022021009977. The next prime is 220022021010047. The reversal of 220022021010000 is 10120220022.

220022021010000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1353908751 + ... + 1354071249.

Almost surely, 2^{220022021010000} is an apocalyptic number.

220022021010000 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 220022021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391398657650000).

220022021010000 is an abundant number, since it is smaller than the sum of its proper divisors (562775294290000).

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

220022021010000 is a wasteful number, since it uses less digits than its factorization.

220022021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162925 (or 162893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220022021010000 its reverse (10120220022), we get a palindrome (220032141230022).

The spelling of 220022021010000 in words is "two hundred twenty trillion, twenty-two billion, twenty-one million, ten thousand".