2111321211300 has 1152 divisors, whose sum is σ = 8399462400000. Its totient is φ = 444687667200.

The previous prime is 2111321211281. The next prime is 2111321211301. The reversal of 2111321211300 is 31121231112.

2111321211300 is a `hidden beast` number, since 21 + 1 + 1 + 321 + 21 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2111321211301) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1056187701 + ... + 1056189699.

It is an arithmetic number, because the mean of its divisors is an integer number (7291200000).

Almost surely, 2^{2111321211300} is an apocalyptic number.

2111321211300 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 2111321211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199731200000).

2111321211300 is an abundant number, since it is smaller than the sum of its proper divisors (6288141188700).

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

2111321211300 is a wasteful number, since it uses less digits than its factorization.

2111321211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2111321211300 its reverse (31121231112), we get a palindrome (2142442442412).

The spelling of 2111321211300 in words is "two trillion, one hundred eleven billion, three hundred twenty-one million, two hundred eleven thousand, three hundred".