202001221020100 has 72 divisors (see below), whose sum is σ = 441839210480640. Its totient is φ = 80156754443520.

The previous prime is 202001221020041. The next prime is 202001221020101. The reversal of 202001221020100 is 1020122100202.

It is a happy number.

It is a super-2 number, since 2×202001221020100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202001221020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15414061 + ... + 25329739.

It is an arithmetic number, because the mean of its divisors is an integer number (6136655701120).

Almost surely, 2^{202001221020100} is an apocalyptic number.

202001221020100 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 202001221020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220919605240320).

202001221020100 is an abundant number, since it is smaller than the sum of its proper divisors (239837989460540).

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

202001221020100 is a wasteful number, since it uses less digits than its factorization.

202001221020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917317 (or 9917310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202001221020100 its reverse (1020122100202), we get a palindrome (203021343120302).

The spelling of 202001221020100 in words is "two hundred two trillion, one billion, two hundred twenty-one million, twenty thousand, one hundred".