2121110212110 has 64 divisors (see below), whose sum is σ = 5232272238144. Its totient is φ = 549918720000.

The previous prime is 2121110212063. The next prime is 2121110212213. The reversal of 2121110212110 is 112120111212.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121110212110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709710 + ... + 2178510.

It is an arithmetic number, because the mean of its divisors is an integer number (81754253721).

Almost surely, 2^{2121110212110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121110212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616136119072).

2121110212110 is an abundant number, since it is smaller than the sum of its proper divisors (3111162026034).

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

2121110212110 is a wasteful number, since it uses less digits than its factorization.

2121110212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470149.

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

Adding to 2121110212110 its reverse (112120111212), we get a palindrome (2233230323322).

The spelling of 2121110212110 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, two hundred twelve thousand, one hundred ten".