2122120110100 has 144 divisors (see below), whose sum is σ = 4659177012336. Its totient is φ = 838942720000.

The previous prime is 2122120110083. The next prime is 2122120110137. The reversal of 2122120110100 is 10110212212.

It can be written as a sum of positive squares in 24 ways, for example, as 833590912144 + 1288529197956 = 913012^2 + 1135134^2 .

It is a super-2 number, since 2×2122120110100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2788593720 + ... + 2788594480.

It is an arithmetic number, because the mean of its divisors is an integer number (32355395919).

Almost surely, 2^{2122120110100} is an apocalyptic number.

2122120110100 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 2122120110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329588506168).

2122120110100 is an abundant number, since it is smaller than the sum of its proper divisors (2537056902236).

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

2122120110100 is a wasteful number, since it uses less digits than its factorization.

2122120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122120110100 its reverse (10110212212), we get a palindrome (2132230322312).

The spelling of 2122120110100 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred ten thousand, one hundred".