2012200100100 has 216 divisors, whose sum is σ = 6399620398080. Its totient is φ = 528751376640.

The previous prime is 2012200100087. The next prime is 2012200100117. The reversal of 2012200100100 is 10010022102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29023677 + ... + 29092923.

Almost surely, 2^{2012200100100} is an apocalyptic number.

2012200100100 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 2012200100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199810199040).

2012200100100 is an abundant number, since it is smaller than the sum of its proper divisors (4387420297980).

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

2012200100100 is a wasteful number, since it uses less digits than its factorization.

2012200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69739 (or 69729 counting only the distinct ones).

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

Adding to 2012200100100 its reverse (10010022102), we get a palindrome (2022210122202).

The spelling of 2012200100100 in words is "two trillion, twelve billion, two hundred million, one hundred thousand, one hundred".