2211120212010 has 96 divisors (see below), whose sum is σ = 5455480548672. Its totient is φ = 573539166720.

The previous prime is 2211120211969. The next prime is 2211120212011. The reversal of 2211120212010 is 102120211122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2211120212011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277670289 + ... + 277678251.

It is an arithmetic number, because the mean of its divisors is an integer number (56827922382).

Almost surely, 2^{2211120212010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211120212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727740274336).

2211120212010 is an abundant number, since it is smaller than the sum of its proper divisors (3244360336662).

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

2211120212010 is a wasteful number, since it uses less digits than its factorization.

2211120212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14808 (or 14771 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2211120212010 its reverse (102120211122), we get a palindrome (2313240423132).

The spelling of 2211120212010 in words is "two trillion, two hundred eleven billion, one hundred twenty million, two hundred twelve thousand, ten".