201020211200100 has 144 divisors (see below), whose sum is σ = 582316158200000. Its totient is φ = 53541121720320.

The previous prime is 201020211200059. The next prime is 201020211200119. The reversal of 201020211200100 is 1002112020102.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 951257652 + ... + 951468948.

Almost surely, 2^{201020211200100} is an apocalyptic number.

201020211200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020211200100 is an abundant number, since it is smaller than the sum of its proper divisors (381295946999900).

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

201020211200100 is a wasteful number, since it uses less digits than its factorization.

201020211200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215102 (or 215095 counting only the distinct ones).

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

Adding to 201020211200100 its reverse (1002112020102), we get a palindrome (202022323220202).

The spelling of 201020211200100 in words is "two hundred one trillion, twenty billion, two hundred eleven million, two hundred thousand, one hundred".