20201333100 has 144 divisors (see below), whose sum is σ = 63000634368. Its totient is φ = 4968264960.

The previous prime is 20201333029. The next prime is 20201333101. The reversal of 20201333100 is 133310202.

It is a super-2 number, since 2×20201333100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20201333100.

It is not an unprimeable number, because it can be changed into a prime (20201333101) by changing a digit.

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, 8606127 + ... + 8608473.

Almost surely, 2^20201333100 is an apocalyptic number.

20201333100 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 20201333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31500317184).

20201333100 is an abundant number, since it is smaller than the sum of its proper divisors (42799301268).

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

20201333100 is a wasteful number, since it uses less digits than its factorization.

20201333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20201333100 its reverse (133310202), we get a palindrome (20334643302).

The spelling of 20201333100 in words is "twenty billion, two hundred one million, three hundred thirty-three thousand, one hundred".