20000221013100 has 144 divisors (see below), whose sum is σ = 59138437897728. Its totient is φ = 5216390549760.

The previous prime is 20000221013099. The next prime is 20000221013167. The reversal of 20000221013100 is 131012200002.

It is a super-2 number, since 2×20000221013100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 20432062 + ... + 21388538.

It is an arithmetic number, because the mean of its divisors is an integer number (410683596512).

Almost surely, 2^{20000221013100} is an apocalyptic number.

20000221013100 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 20000221013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29569218948864).

20000221013100 is an abundant number, since it is smaller than the sum of its proper divisors (39138216884628).

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

20000221013100 is a wasteful number, since it uses less digits than its factorization.

20000221013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958024 (or 958017 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20000221013100 its reverse (131012200002), we get a palindrome (20131233213102).

The spelling of 20000221013100 in words is "twenty trillion, two hundred twenty-one million, thirteen thousand, one hundred".