211020320100 has 216 divisors, whose sum is σ = 637216965504. Its totient is φ = 53910240000.

The previous prime is 211020320089. The next prime is 211020320101. The reversal of 211020320100 is 1023020112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020320101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29114677 + ... + 29121923.

It is an arithmetic number, because the mean of its divisors is an integer number (2950078544).

Almost surely, 2^211020320100 is an apocalyptic number.

211020320100 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 211020320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318608482752).

211020320100 is an abundant number, since it is smaller than the sum of its proper divisors (426196645404).

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

211020320100 is a wasteful number, since it uses less digits than its factorization.

211020320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211020320100 its reverse (1023020112), we get a palindrome (212043340212).

The spelling of 211020320100 in words is "two hundred eleven billion, twenty million, three hundred twenty thousand, one hundred".