211132323100 has 72 divisors (see below), whose sum is σ = 473063971968. Its totient is φ = 81706598400.

The previous prime is 211132323091. The next prime is 211132323121. The reversal of 211132323100 is 1323231112.

It is a super-2 number, since 2×211132323100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15967692 + ... + 15980908.

It is an arithmetic number, because the mean of its divisors is an integer number (6570332944).

Almost surely, 2^211132323100 is an apocalyptic number.

211132323100 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 211132323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236531985984).

211132323100 is an abundant number, since it is smaller than the sum of its proper divisors (261931648868).

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

211132323100 is a wasteful number, since it uses less digits than its factorization.

211132323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18415 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211132323100 its reverse (1323231112), we get a palindrome (212455554212).

The spelling of 211132323100 in words is "two hundred eleven billion, one hundred thirty-two million, three hundred twenty-three thousand, one hundred".