202221000010080 has 240 divisors, whose sum is σ = 713774631754800. Its totient is φ = 53917815794688.

The previous prime is 202221000010079. The next prime is 202221000010291. The reversal of 202221000010080 is 80010000122202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88936327 + ... + 91181753.

It is an arithmetic number, because the mean of its divisors is an integer number (2974060965645).

Almost surely, 2^{202221000010080} is an apocalyptic number.

202221000010080 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 202221000010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356887315877400).

202221000010080 is an abundant number, since it is smaller than the sum of its proper divisors (511553631744720).

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

202221000010080 is a wasteful number, since it uses less digits than its factorization.

202221000010080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252403 (or 2252386 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202221000010080 its reverse (80010000122202), we get a palindrome (282231000132282).

The spelling of 202221000010080 in words is "two hundred two trillion, two hundred twenty-one billion, ten thousand, eighty".