20001100021200 has 1620 divisors, whose sum is σ = 78333904434240. Its totient is φ = 4722741365760.

The previous prime is 20001100021193. The next prime is 20001100021207. The reversal of 20001100021200 is 212000110002.

It is an interprime number because it is at equal distance from previous prime (20001100021193) and next prime (20001100021207).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001100021207) 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 323 ways as a sum of consecutive naturals, for example, 32311954491 + ... + 32311955109.

Almost surely, 2^{20001100021200} is an apocalyptic number.

20001100021200 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 20001100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39166952217120).

20001100021200 is an abundant number, since it is smaller than the sum of its proper divisors (58332804413040).

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

20001100021200 is a wasteful number, since it uses less digits than its factorization.

20001100021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001100021200 its reverse (212000110002), we get a palindrome (20213100131202).

The spelling of 20001100021200 in words is "twenty trillion, one billion, one hundred million, twenty-one thousand, two hundred".