201020021011100 has 72 divisors (see below), whose sum is σ = 461992948715088. Its totient is φ = 75658481740800.

The previous prime is 201020021011057. The next prime is 201020021011109. The reversal of 201020021011100 is 1110120020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020021011109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8794706 + ... + 21894905.

It is an arithmetic number, because the mean of its divisors is an integer number (6416568732154).

Almost surely, 2^{201020021011100} is an apocalyptic number.

201020021011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020021011100 is an abundant number, since it is smaller than the sum of its proper divisors (260972927703988).

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

201020021011100 is a wasteful number, since it uses less digits than its factorization.

201020021011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30693495 (or 30693488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201020021011100 its reverse (1110120020102), we get a palindrome (202130141031202).

The spelling of 201020021011100 in words is "two hundred one trillion, twenty billion, twenty-one million, eleven thousand, one hundred".