211121202010100 has 144 divisors (see below), whose sum is σ = 468535399315200. Its totient is φ = 82536080056320.

The previous prime is 211121202010087. The next prime is 211121202010157. The reversal of 211121202010100 is 1010202121112.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18596066024 + ... + 18596077376.

It is an arithmetic number, because the mean of its divisors is an integer number (3253718050800).

Almost surely, 2^{211121202010100} is an apocalyptic number.

211121202010100 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 211121202010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234267699657600).

211121202010100 is an abundant number, since it is smaller than the sum of its proper divisors (257414197305100).

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

211121202010100 is a wasteful number, since it uses less digits than its factorization.

211121202010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16602 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211121202010100 its reverse (1010202121112), we get a palindrome (212131404131212).

The spelling of 211121202010100 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred two million, ten thousand, one hundred".