20011212200100 has 288 divisors, whose sum is σ = 63895385433600. Its totient is φ = 4794965683200.

The previous prime is 20011212200059. The next prime is 20011212200113. The reversal of 20011212200100 is 100221211002.

It is a super-2 number, since 2×20011212200100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 936011211 + ... + 936032589.

It is an arithmetic number, because the mean of its divisors is an integer number (221858977200).

Almost surely, 2^{20011212200100} is an apocalyptic number.

20011212200100 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 20011212200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31947692716800).

20011212200100 is an abundant number, since it is smaller than the sum of its proper divisors (43884173233500).

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

20011212200100 is a wasteful number, since it uses less digits than its factorization.

20011212200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24683 (or 24676 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20011212200100 its reverse (100221211002), we get a palindrome (20111433411102).

The spelling of 20011212200100 in words is "twenty trillion, eleven billion, two hundred twelve million, two hundred thousand, one hundred".