201021212100 has 72 divisors (see below), whose sum is σ = 606909280320. Its totient is φ = 51274974080.

The previous prime is 201021212053. The next prime is 201021212101. The reversal of 201021212100 is 1212120102.

201021212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201021212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14559855 + ... + 14573654.

It is an arithmetic number, because the mean of its divisors is an integer number (8429295560).

Almost surely, 2^201021212100 is an apocalyptic number.

201021212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021212100 is an abundant number, since it is smaller than the sum of its proper divisors (405888068220).

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

201021212100 is a wasteful number, since it uses less digits than its factorization.

201021212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29133549 (or 29133542 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201021212100 its reverse (1212120102), we get a palindrome (202233332202).

The spelling of 201021212100 in words is "two hundred one billion, twenty-one million, two hundred twelve thousand, one hundred".