202221000211120 has 160 divisors (see below), whose sum is σ = 516399548313600. Its totient is φ = 73034138833920.

The previous prime is 202221000211039. The next prime is 202221000211187. The reversal of 202221000211120 is 21112000122202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202221000211094 and 202221000211103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422187549 + ... + 1422329731.

It is an arithmetic number, because the mean of its divisors is an integer number (3227497176960).

Almost surely, 2^{202221000211120} is an apocalyptic number.

202221000211120 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 202221000211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258199774156800).

202221000211120 is an abundant number, since it is smaller than the sum of its proper divisors (314178548102480).

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

202221000211120 is a wasteful number, since it uses less digits than its factorization.

202221000211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153203 (or 153197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202221000211120 its reverse (21112000122202), we get a palindrome (223333000333322).

The spelling of 202221000211120 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred eleven thousand, one hundred twenty".