201003212202100 has 288 divisors, whose sum is σ = 545433090048000. Its totient is φ = 62462883456000.

The previous prime is 201003212202097. The next prime is 201003212202101. The reversal of 201003212202100 is 1202212300102.

It is a happy number.

201003212202100 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 not an unprimeable number, because it can be changed into a prime (201003212202101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14358390901 + ... + 14358404899.

It is an arithmetic number, because the mean of its divisors is an integer number (1893864896000).

Almost surely, 2^{201003212202100} is an apocalyptic number.

201003212202100 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 201003212202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272716545024000).

201003212202100 is an abundant number, since it is smaller than the sum of its proper divisors (344429877845900).

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

201003212202100 is a wasteful number, since it uses less digits than its factorization.

201003212202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479 (or 19472 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201003212202100 its reverse (1202212300102), we get a palindrome (202205424502202).

The spelling of 201003212202100 in words is "two hundred one trillion, three billion, two hundred twelve million, two hundred two thousand, one hundred".