2210121111210 has 128 divisors (see below), whose sum is σ = 5455106887680. Its totient is φ = 572788779264.

The previous prime is 2210121111199. The next prime is 2210121111227. The reversal of 2210121111210 is 121111210122.

It is a happy number.

2210121111210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2210121111210³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2210121111210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668314377 + ... + 668317683.

It is an arithmetic number, because the mean of its divisors is an integer number (42618022560).

Almost surely, 2^{2210121111210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210121111210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727553443840).

2210121111210 is an abundant number, since it is smaller than the sum of its proper divisors (3244985776470).

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

2210121111210 is a wasteful number, since it uses less digits than its factorization.

2210121111210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2210121111210 its reverse (121111210122), we get a palindrome (2331232321332).

The spelling of 2210121111210 in words is "two trillion, two hundred ten billion, one hundred twenty-one million, one hundred eleven thousand, two hundred ten".