211310021323100 has 576 divisors, whose sum is σ = 575595671519232. Its totient is φ = 65687666688000.

The previous prime is 211310021323067. The next prime is 211310021323109. The reversal of 211310021323100 is 1323120013112.

It is a happy number.

It is a super-2 number, since 2×211310021323100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211310021323109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14940954629 + ... + 14940968771.

It is an arithmetic number, because the mean of its divisors is an integer number (999298040832).

Almost surely, 2^{211310021323100} is an apocalyptic number.

211310021323100 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 211310021323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287797835759616).

211310021323100 is an abundant number, since it is smaller than the sum of its proper divisors (364285650196132).

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

211310021323100 is a wasteful number, since it uses less digits than its factorization.

211310021323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14606 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211310021323100 its reverse (1323120013112), we get a palindrome (212633141336212).

The spelling of 211310021323100 in words is "two hundred eleven trillion, three hundred ten billion, twenty-one million, three hundred twenty-three thousand, one hundred".