2120111120010 has 256 divisors, whose sum is σ = 5845822617600. Its totient is φ = 487759574016.

The previous prime is 2120111119993. The next prime is 2120111120011. The reversal of 2120111120010 is 100211110212.

It is a super-2 number, since 2×2120111120010² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2120111120011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 528308764 + ... + 528312776.

It is an arithmetic number, because the mean of its divisors is an integer number (22835244600).

Almost surely, 2^{2120111120010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120111120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922911308800).

2120111120010 is an abundant number, since it is smaller than the sum of its proper divisors (3725711497590).

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

2120111120010 is a wasteful number, since it uses less digits than its factorization.

2120111120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2120111120010 its reverse (100211110212), we get a palindrome (2220322230222).

The spelling of 2120111120010 in words is "two trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty thousand, ten".