211211331100 has 72 divisors (see below), whose sum is σ = 571422676608. Its totient is φ = 65832100800.

The previous prime is 211211331083. The next prime is 211211331113. The reversal of 211211331100 is 1133112112.

It is a happy number.

It is a super-2 number, since 2×211211331100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13707322 + ... + 13722721.

It is an arithmetic number, because the mean of its divisors is an integer number (7936426064).

Almost surely, 2^211211331100 is an apocalyptic number.

211211331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211331100 is an abundant number, since it is smaller than the sum of its proper divisors (360211345508).

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

211211331100 is a wasteful number, since it uses less digits than its factorization.

211211331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27430075 (or 27430068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 211211331100 its reverse (1133112112), we get a palindrome (212344443212).

It can be divided in two parts, 21 and 1211331100, that added together give a palindrome (1211331121).

The spelling of 211211331100 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirty-one thousand, one hundred".