201212121100000 has 144 divisors (see below), whose sum is σ = 496241633034000. Its totient is φ = 80305576960000.

The previous prime is 201212121099937. The next prime is 201212121100013. The reversal of 201212121100000 is 1121212102.

It is a super-2 number, since 2×201212121100000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42659331 + ... + 47140669.

It is an arithmetic number, because the mean of its divisors is an integer number (3446122451625).

Almost surely, 2^{201212121100000} is an apocalyptic number.

201212121100000 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 201212121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248120816517000).

201212121100000 is an abundant number, since it is smaller than the sum of its proper divisors (295029511934000).

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

201212121100000 is an frugal number, since it uses more digits than its factorization.

201212121100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481823 (or 4481795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201212121100000 its reverse (1121212102), we get a palindrome (201213242312102).

The spelling of 201212121100000 in words is "two hundred one trillion, two hundred twelve billion, one hundred twenty-one million, one hundred thousand".