2122122120100 has 144 divisors (see below), whose sum is σ = 5014785283200. Its totient is φ = 776787840000.

The previous prime is 2122122120089. The next prime is 2122122120103. The reversal of 2122122120100 is 10212212212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2122122120103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7733041 + ... + 8002759.

It is an arithmetic number, because the mean of its divisors is an integer number (34824897800).

Almost surely, 2^{2122122120100} is an apocalyptic number.

2122122120100 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 2122122120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507392641600).

2122122120100 is an abundant number, since it is smaller than the sum of its proper divisors (2892663163100).

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

2122122120100 is a wasteful number, since it uses less digits than its factorization.

2122122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269894 (or 269887 counting only the distinct ones).

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

Adding to 2122122120100 its reverse (10212212212), we get a palindrome (2132334332312).

The spelling of 2122122120100 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".