2011122111110 has 256 divisors, whose sum is σ = 4421346508800. Its totient is φ = 657619200000.

The previous prime is 2011122111091. The next prime is 2011122111133. The reversal of 2011122111110 is 111112211102.

It is a super-2 number, since 2×2011122111110² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 4306471097 + ... + 4306471563.

It is an arithmetic number, because the mean of its divisors is an integer number (17270884800).

Almost surely, 2^{2011122111110} is an apocalyptic number.

2011122111110 is an abundant number, since it is smaller than the sum of its proper divisors (2410224397690).

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

2011122111110 is a wasteful number, since it uses less digits than its factorization.

2011122111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2011122111110 its reverse (111112211102), we get a palindrome (2122234322212).

The spelling of 2011122111110 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred ten".