2122100012120 has 128 divisors (see below), whose sum is σ = 5234810414400. Its totient is φ = 767822284800.

The previous prime is 2122100012113. The next prime is 2122100012147. The reversal of 2122100012120 is 212100012212.

It is a super-2 number, since 2×2122100012120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122100012095 and 2122100012104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 187508702 + ... + 187520018.

Almost surely, 2^{2122100012120} is an apocalyptic number.

2122100012120 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 2122100012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617405207200).

2122100012120 is an abundant number, since it is smaller than the sum of its proper divisors (3112710402280).

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

2122100012120 is a wasteful number, since it uses less digits than its factorization.

2122100012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13429 (or 13425 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122100012120 its reverse (212100012212), we get a palindrome (2334200024332).

The spelling of 2122100012120 in words is "two trillion, one hundred twenty-two billion, one hundred million, twelve thousand, one hundred twenty".