201210102002100 has 144 divisors (see below), whose sum is σ = 597274402616640. Its totient is φ = 52279818393600.

The previous prime is 201210102002093. The next prime is 201210102002101. The reversal of 201210102002100 is 1200201012102.

201210102002100 is digitally balanced in base 3, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210102002101) 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 47 ways as a sum of consecutive naturals, for example, 48299911 + ... + 52300110.

It is an arithmetic number, because the mean of its divisors is an integer number (4147738907060).

Almost surely, 2^{201210102002100} is an apocalyptic number.

201210102002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210102002100 is an abundant number, since it is smaller than the sum of its proper divisors (396064300614540).

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

201210102002100 is a wasteful number, since it uses less digits than its factorization.

201210102002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100600210 (or 100600203 counting only the distinct ones).

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

Adding to 201210102002100 its reverse (1200201012102), we get a palindrome (202410303014202).

The spelling of 201210102002100 in words is "two hundred one trillion, two hundred ten billion, one hundred two million, two thousand, one hundred".