2122112210120 has 64 divisors (see below), whose sum is σ = 5467795920000. Its totient is φ = 726123202560.

The previous prime is 2122112210111. The next prime is 2122112210129. The reversal of 2122112210120 is 210122112212.

It is an interprime number because it is at equal distance from previous prime (2122112210111) and next prime (2122112210129).

It is not an unprimeable number, because it can be changed into a prime (2122112210129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7454441 + ... + 7733880.

It is an arithmetic number, because the mean of its divisors is an integer number (85434311250).

Almost surely, 2^{2122112210120} is an apocalyptic number.

2122112210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112210120 is an abundant number, since it is smaller than the sum of its proper divisors (3345683709880).

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

2122112210120 is a wasteful number, since it uses less digits than its factorization.

2122112210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15188838 (or 15188834 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122112210120 its reverse (210122112212), we get a palindrome (2332234322332).

The spelling of 2122112210120 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".