211100020121200 has 480 divisors, whose sum is σ = 644324760576000. Its totient is φ = 64796384885760.

The previous prime is 211100020121197. The next prime is 211100020121233. The reversal of 211100020121200 is 2121020001112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100519501 + ... + 102598099.

It is an arithmetic number, because the mean of its divisors is an integer number (1342343251200).

Almost surely, 2^{211100020121200} is an apocalyptic number.

211100020121200 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 211100020121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322162380288000).

211100020121200 is an abundant number, since it is smaller than the sum of its proper divisors (433224740454800).

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

211100020121200 is a wasteful number, since it uses less digits than its factorization.

211100020121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078749 (or 2078738 counting only the distinct ones).

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

Adding to 211100020121200 its reverse (2121020001112), we get a palindrome (213221040122312).

The spelling of 211100020121200 in words is "two hundred eleven trillion, one hundred billion, twenty million, one hundred twenty-one thousand, two hundred".