201212110012100 has 216 divisors, whose sum is σ = 512660859808104. Its totient is φ = 68254613504000.

The previous prime is 201212110012093. The next prime is 201212110012183. The reversal of 201212110012100 is 1210011212102.

It can be written as a sum of positive squares in 12 ways, for example, as 103710230527684 + 97501879484416 = 10183822^2 + 9874304^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 18915860 + ... + 27572340.

It is an arithmetic number, because the mean of its divisors is an integer number (2373429906519).

Almost surely, 2^{201212110012100} is an apocalyptic number.

201212110012100 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 201212110012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256330429904052).

201212110012100 is an abundant number, since it is smaller than the sum of its proper divisors (311448749796004).

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

201212110012100 is a wasteful number, since it uses less digits than its factorization.

201212110012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656647 (or 8656629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201212110012100 its reverse (1210011212102), we get a palindrome (202422121224202).

The spelling of 201212110012100 in words is "two hundred one trillion, two hundred twelve billion, one hundred ten million, twelve thousand, one hundred".