2011110211110 has 256 divisors, whose sum is σ = 6655710394368. Its totient is φ = 375321600000.

The previous prime is 2011110211091. The next prime is 2011110211129. The reversal of 2011110211110 is 111120111102.

It is an interprime number because it is at equal distance from previous prime (2011110211091) and next prime (2011110211129).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206110 + ... + 2016110.

It is an arithmetic number, because the mean of its divisors is an integer number (25998868728).

Almost surely, 2^{2011110211110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011110211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327855197184).

2011110211110 is an abundant number, since it is smaller than the sum of its proper divisors (4644600183258).

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

2011110211110 is a wasteful number, since it uses less digits than its factorization.

2011110211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810079.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2011110211110 its reverse (111120111102), we get a palindrome (2122230322212).

The spelling of 2011110211110 in words is "two trillion, eleven billion, one hundred ten million, two hundred eleven thousand, one hundred ten".