211121012102200 has 96 divisors (see below), whose sum is σ = 491077662768000. Its totient is φ = 84410339299200.

The previous prime is 211121012102179. The next prime is 211121012102207. The reversal of 211121012102200 is 2201210121112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121012102207) 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, 4370016045 + ... + 4370064355.

It is an arithmetic number, because the mean of its divisors is an integer number (5115392320500).

Almost surely, 2^{211121012102200} is an apocalyptic number.

211121012102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121012102200 is an abundant number, since it is smaller than the sum of its proper divisors (279956650665800).

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

211121012102200 is a wasteful number, since it uses less digits than its factorization.

211121012102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57725 (or 57716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121012102200 its reverse (2201210121112), we get a palindrome (213322222223312).

The spelling of 211121012102200 in words is "two hundred eleven trillion, one hundred twenty-one billion, twelve million, one hundred two thousand, two hundred".