201212112102100 has 36 divisors (see below), whose sum is σ = 476323945378848. Its totient is φ = 73168040764000.

The previous prime is 201212112102077. The next prime is 201212112102107. The reversal of 201212112102100 is 1201211212102.

201212112102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212112102107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91460049856 + ... + 91460052055.

It is an arithmetic number, because the mean of its divisors is an integer number (13231220704968).

Almost surely, 2^{201212112102100} is an apocalyptic number.

201212112102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212112102100 is an abundant number, since it is smaller than the sum of its proper divisors (275111833276748).

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

201212112102100 is a wasteful number, since it uses less digits than its factorization.

201212112102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182920101936 (or 182920101929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201212112102100 its reverse (1201211212102), we get a palindrome (202413323314202).

The spelling of 201212112102100 in words is "two hundred one trillion, two hundred twelve billion, one hundred twelve million, one hundred two thousand, one hundred".