20033310020100 has 576 divisors, whose sum is σ = 69404384501760. Its totient is φ = 4415872204800.

The previous prime is 20033310020093. The next prime is 20033310020117. The reversal of 20033310020100 is 102001333002.

It is a super-2 number, since 2×20033310020100² (a number of 27 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 20033310020100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98673892 + ... + 98876708.

Almost surely, 2^{20033310020100} is an apocalyptic number.

20033310020100 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 20033310020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34702192250880).

20033310020100 is an abundant number, since it is smaller than the sum of its proper divisors (49371074481660).

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

20033310020100 is a wasteful number, since it uses less digits than its factorization.

20033310020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202940 (or 202933 counting only the distinct ones).

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

Adding to 20033310020100 its reverse (102001333002), we get a palindrome (20135311353102).

The spelling of 20033310020100 in words is "twenty trillion, thirty-three billion, three hundred ten million, twenty thousand, one hundred".