2122111003122 has 48 divisors (see below), whose sum is σ = 5016079905408. Its totient is φ = 643040713440.

The previous prime is 2122111003099. The next prime is 2122111003139. The reversal of 2122111003122 is 2213001112212.

2122111003122 is a `hidden beast` number, since 21 + 221 + 110 + 0 + 312 + 2 = 666.

It is a super-2 number, since 2×2122111003122² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2122111003095 and 2122111003104.

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, 5764023 + ... + 6121125.

It is an arithmetic number, because the mean of its divisors is an integer number (104501664696).

Almost surely, 2^{2122111003122} is an apocalyptic number.

2122111003122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2122111003122 is an abundant number, since it is smaller than the sum of its proper divisors (2893968902286).

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

2122111003122 is a wasteful number, since it uses less digits than its factorization.

2122111003122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387135 (or 387132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2122111003122 its reverse (2213001112212), we get a palindrome (4335112115334).

The spelling of 2122111003122 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, three thousand, one hundred twenty-two".