201331203002100 has 576 divisors, whose sum is σ = 692161636320000. Its totient is φ = 50026160701440.

The previous prime is 201331203002089. The next prime is 201331203002101. The reversal of 201331203002100 is 1200302133102.

201331203002100 is a `hidden beast` number, since 2 + 0 + 1 + 33 + 120 + 300 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201331203002101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6448980291 + ... + 6449011509.

It is an arithmetic number, because the mean of its divisors is an integer number (1201669507500).

Almost surely, 2^{201331203002100} is an apocalyptic number.

201331203002100 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 201331203002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346080818160000).

201331203002100 is an abundant number, since it is smaller than the sum of its proper divisors (490830433317900).

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

201331203002100 is a wasteful number, since it uses less digits than its factorization.

201331203002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32657 (or 32644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201331203002100 its reverse (1200302133102), we get a palindrome (202531505135202).

The spelling of 201331203002100 in words is "two hundred one trillion, three hundred thirty-one billion, two hundred three million, two thousand, one hundred".