202201221101000 has 128 divisors (see below), whose sum is σ = 516210619541760. Its totient is φ = 73521157248000.

The previous prime is 202201221100987. The next prime is 202201221101021. The reversal of 202201221101000 is 101122102202.

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 31 ways as a sum of consecutive naturals, for example, 123342704 + ... + 124971296.

It is an arithmetic number, because the mean of its divisors is an integer number (4032895465170).

Almost surely, 2^{202201221101000} is an apocalyptic number.

202201221101000 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 202201221101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258105309770880).

202201221101000 is an abundant number, since it is smaller than the sum of its proper divisors (314009398440760).

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

202201221101000 is a wasteful number, since it uses less digits than its factorization.

202201221101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639912 (or 1639898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202201221101000 its reverse (101122102202), we get a palindrome (202302343203202).

The spelling of 202201221101000 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred one thousand".