2113312122100 has 72 divisors (see below), whose sum is σ = 4698164595096. Its totient is φ = 824632320000.

The previous prime is 2113312122023. The next prime is 2113312122101. The reversal of 2113312122100 is 12212133112.

It can be written as a sum of positive squares in 12 ways, for example, as 601735312656 + 1511576809444 = 775716^2 + 1229462^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113312122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72805590 + ... + 72834610.

It is an arithmetic number, because the mean of its divisors is an integer number (65252286043).

Almost surely, 2^{2113312122100} is an apocalyptic number.

2113312122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113312122100 is an abundant number, since it is smaller than the sum of its proper divisors (2584852472996).

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

2113312122100 is a wasteful number, since it uses less digits than its factorization.

2113312122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46837 (or 46830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2113312122100 its reverse (12212133112), we get a palindrome (2125524255212).

The spelling of 2113312122100 in words is "two trillion, one hundred thirteen billion, three hundred twelve million, one hundred twenty-two thousand, one hundred".