211021001121100 has 144 divisors (see below), whose sum is σ = 483704500930560. Its totient is φ = 79749027705600.

The previous prime is 211021001121089. The next prime is 211021001121143. The reversal of 211021001121100 is 1121100120112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91009165 + ... + 93299035.

It is an arithmetic number, because the mean of its divisors is an integer number (3359059034240).

Almost surely, 2^{211021001121100} is an apocalyptic number.

211021001121100 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 211021001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241852250465280).

211021001121100 is an abundant number, since it is smaller than the sum of its proper divisors (272683499809460).

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

211021001121100 is a wasteful number, since it uses less digits than its factorization.

211021001121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290400 (or 2290393 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211021001121100 its reverse (1121100120112), we get a palindrome (212142101241212).

The spelling of 211021001121100 in words is "two hundred eleven trillion, twenty-one billion, one million, one hundred twenty-one thousand, one hundred".