20012000101200 has 360 divisors, whose sum is σ = 71372071645056. Its totient is φ = 5188814208000.

The previous prime is 20012000101153. The next prime is 20012000101207. The reversal of 20012000101200 is 210100021002.

It is a tau number, because it is divible by the number of its divisors (360).

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 (20012000101207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201215485 + ... + 201314915.

Almost surely, 2^{20012000101200} is an apocalyptic number.

20012000101200 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 20012000101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686035822528).

20012000101200 is an abundant number, since it is smaller than the sum of its proper divisors (51360071543856).

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

20012000101200 is a wasteful number, since it uses less digits than its factorization.

20012000101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101003 (or 100989 counting only the distinct ones).

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

Adding to 20012000101200 its reverse (210100021002), we get a palindrome (20222100122202).

The spelling of 20012000101200 in words is "twenty trillion, twelve billion, one hundred one thousand, two hundred".