2100122210120 has 128 divisors (see below), whose sum is σ = 5175755988480. Its totient is φ = 760585728000.

The previous prime is 2100122210099. The next prime is 2100122210129. The reversal of 2100122210120 is 210122210012.

It is a junction number, because it is equal to n+sod(n) for n = 2100122210095 and 2100122210104.

It is not an unprimeable number, because it can be changed into a prime (2100122210129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413325980 + ... + 413331060.

It is an arithmetic number, because the mean of its divisors is an integer number (40435593660).

Almost surely, 2^{2100122210120} is an apocalyptic number.

2100122210120 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 2100122210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587877994240).

2100122210120 is an abundant number, since it is smaller than the sum of its proper divisors (3075633778360).

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

2100122210120 is a wasteful number, since it uses less digits than its factorization.

2100122210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727 (or 8723 counting only the distinct ones).

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

Adding to 2100122210120 its reverse (210122210012), we get a palindrome (2310244420132).

The spelling of 2100122210120 in words is "two trillion, one hundred billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".