2122120122100 has 72 divisors (see below), whose sum is σ = 5027893881696. Its totient is φ = 771026160000.

The previous prime is 2122120122061. The next prime is 2122120122131. The reversal of 2122120122100 is 12210212212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 482335 + ... + 2115865.

It is an arithmetic number, because the mean of its divisors is an integer number (69831859468).

Almost surely, 2^{2122120122100} is an apocalyptic number.

2122120122100 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 2122120122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513946940848).

2122120122100 is an abundant number, since it is smaller than the sum of its proper divisors (2905773759596).

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

2122120122100 is a wasteful number, since it uses less digits than its factorization.

2122120122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634737 (or 1634730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122120122100 its reverse (12210212212), we get a palindrome (2134330334312).

The spelling of 2122120122100 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".