2113121330100 has 432 divisors, whose sum is σ = 7578833423616. Its totient is φ = 487817856000.

The previous prime is 2113121330041. The next prime is 2113121330113. The reversal of 2113121330100 is 10331213112.

2113121330100 is a `hidden beast` number, since 2 + 11 + 312 + 1 + 330 + 10 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17154730 + ... + 17277470.

It is an arithmetic number, because the mean of its divisors is an integer number (17543595888).

Almost surely, 2^{2113121330100} is an apocalyptic number.

2113121330100 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 2113121330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789416711808).

2113121330100 is an abundant number, since it is smaller than the sum of its proper divisors (5465712093516).

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

2113121330100 is a wasteful number, since it uses less digits than its factorization.

2113121330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122856 (or 122846 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2113121330100 its reverse (10331213112), we get a palindrome (2123452543212).

The spelling of 2113121330100 in words is "two trillion, one hundred thirteen billion, one hundred twenty-one million, three hundred thirty thousand, one hundred".