211021001100 has 864 divisors, whose sum is σ = 847155778560. Its totient is φ = 42746849280.

The previous prime is 211021001069. The next prime is 211021001153. The reversal of 211021001100 is 1100120112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 287 ways as a sum of consecutive naturals, for example, 251514481 + ... + 251515319.

Almost surely, 2^211021001100 is an apocalyptic number.

211021001100 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 211021001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423577889280).

211021001100 is an abundant number, since it is smaller than the sum of its proper divisors (636134777460).

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

211021001100 is a wasteful number, since it uses less digits than its factorization.

211021001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211021001100 its reverse (1100120112), we get a palindrome (212121121212).

The spelling of 211021001100 in words is "two hundred eleven billion, twenty-one million, one thousand, one hundred".