201212122100 has 108 divisors (see below), whose sum is σ = 480187932672. Its totient is φ = 73129108800.

The previous prime is 201212122081. The next prime is 201212122141. The reversal of 201212122100 is 1221212102.

201212122100 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32751629 + ... + 32757771.

Almost surely, 2^201212122100 is an apocalyptic number.

201212122100 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 201212122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240093966336).

201212122100 is an abundant number, since it is smaller than the sum of its proper divisors (278975810572).

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

201212122100 is a wasteful number, since it uses less digits than its factorization.

201212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201212122100 its reverse (1221212102), we get a palindrome (202433334202).

The spelling of 201212122100 in words is "two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".