211210021002100 has 72 divisors (see below), whose sum is σ = 458904376287000. Its totient is φ = 84377359872000.

The previous prime is 211210021002083. The next prime is 211210021002103. The reversal of 211210021002100 is 1200120012112.

It can be written as a sum of positive squares in 12 ways, for example, as 1805621062756 + 209404399939344 = 1343734^2 + 14470812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210021002103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1728321000 + ... + 1728443200.

It is an arithmetic number, because the mean of its divisors is an integer number (6373671892875).

Almost surely, 2^{211210021002100} is an apocalyptic number.

211210021002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210021002100 is an abundant number, since it is smaller than the sum of its proper divisors (247694355284900).

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

211210021002100 is a wasteful number, since it uses less digits than its factorization.

211210021002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143893 (or 143886 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211210021002100 its reverse (1200120012112), we get a palindrome (212410141014212).

The spelling of 211210021002100 in words is "two hundred eleven trillion, two hundred ten billion, twenty-one million, two thousand, one hundred".