20021133213100 has 144 divisors (see below), whose sum is σ = 45725609311200. Its totient is φ = 7597941944320.

The previous prime is 20021133213049. The next prime is 20021133213113. The reversal of 20021133213100 is 131233112002.

It is a super-2 number, since 2×20021133213100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413524494 + ... + 413572906.

It is an arithmetic number, because the mean of its divisors is an integer number (317538953550).

Almost surely, 2^{20021133213100} is an apocalyptic number.

20021133213100 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 20021133213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22862804655600).

20021133213100 is an abundant number, since it is smaller than the sum of its proper divisors (25704476098100).

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

20021133213100 is a wasteful number, since it uses less digits than its factorization.

20021133213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50932 (or 50925 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20021133213100 its reverse (131233112002), we get a palindrome (20152366325102).

The spelling of 20021133213100 in words is "twenty trillion, twenty-one billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred".