2211210100120 has 128 divisors (see below), whose sum is σ = 6022281830400. Its totient is φ = 713314768896.

The previous prime is 2211210100097. The next prime is 2211210100123. The reversal of 2211210100120 is 210010121122.

It is a self number, because there is not a number n which added to its sum of digits gives 2211210100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211210100123) 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 31 ways as a sum of consecutive naturals, for example, 15843201 + ... + 15982159.

It is an arithmetic number, because the mean of its divisors is an integer number (47049076800).

Almost surely, 2^{2211210100120} is an apocalyptic number.

2211210100120 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 2211210100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011140915200).

2211210100120 is an abundant number, since it is smaller than the sum of its proper divisors (3811071730280).

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

2211210100120 is a wasteful number, since it uses less digits than its factorization.

2211210100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142337 (or 142333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2211210100120 its reverse (210010121122), we get a palindrome (2421220221242).

The spelling of 2211210100120 in words is "two trillion, two hundred eleven billion, two hundred ten million, one hundred thousand, one hundred twenty".