20001010012200 has 1152 divisors, whose sum is σ = 81822843360000. Its totient is φ = 4476032870400.

The previous prime is 20001010012163. The next prime is 20001010012259. The reversal of 20001010012200 is 221001010002.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8400255010 + ... + 8400257390.

It is an arithmetic number, because the mean of its divisors is an integer number (71026773750).

Almost surely, 2^{20001010012200} is an apocalyptic number.

20001010012200 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 20001010012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40911421680000).

20001010012200 is an abundant number, since it is smaller than the sum of its proper divisors (61821833347800).

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

20001010012200 is a wasteful number, since it uses less digits than its factorization.

20001010012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3050 counting only the distinct ones).

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

Adding to 20001010012200 its reverse (221001010002), we get a palindrome (20222011022202).

The spelling of 20001010012200 in words is "twenty trillion, one billion, ten million, twelve thousand, two hundred".