2122102120 has 32 divisors (see below), whose sum is σ = 4776320520. Its totient is φ = 848558080.

The previous prime is 2122102111. The next prime is 2122102121. The reversal of 2122102120 is 212012212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1224860004 + 897242116 = 34998^2 + 29954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2122102120.

It is not an unprimeable number, because it can be changed into a prime (2122102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146400 + ... + 160240.

Almost surely, 2^2122102120 is an apocalyptic number.

2122102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122102120 is an abundant number, since it is smaller than the sum of its proper divisors (2654218400).

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

2122102120 is a wasteful number, since it uses less digits than its factorization.

2122102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17685 (or 17681 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2122102120 is about 46066.2796414036. The cubic root of 2122102120 is about 1285.0561164913.

Adding to 2122102120 its reverse (212012212), we get a palindrome (2334114332).

The spelling of 2122102120 in words is "two billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".