2220122021000 has 256 divisors, whose sum is σ = 5928012941760. Its totient is φ = 770970009600.

The previous prime is 2220122020981. The next prime is 2220122021027. The reversal of 2220122021000 is 1202210222.

It can be written as a sum of positive squares in 32 ways, for example, as 670639793476 + 1549482227524 = 818926^2 + 1244782^2 .

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 63 ways as a sum of consecutive naturals, for example, 427190402 + ... + 427195598.

Almost surely, 2^{2220122021000} is an apocalyptic number.

2220122021000 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 2220122021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964006470880).

2220122021000 is an abundant number, since it is smaller than the sum of its proper divisors (3707890920760).

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

2220122021000 is a wasteful number, since it uses less digits than its factorization.

2220122021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181 (or 7167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2220122021000 its reverse (1202210222), we get a palindrome (2221324231222).

The spelling of 2220122021000 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, twenty-one thousand".