2011122111102 has 16 divisors (see below), whose sum is σ = 4331647624080. Its totient is φ = 618806803392.

The previous prime is 2011122111091. The next prime is 2011122111133. The reversal of 2011122111102 is 2011112211102.

It is a happy number.

It is a super-2 number, since 2×2011122111102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12891808327 + ... + 12891808482.

It is an arithmetic number, because the mean of its divisors is an integer number (270727976505).

Almost surely, 2^{2011122111102} is an apocalyptic number.

2011122111102 is an abundant number, since it is smaller than the sum of its proper divisors (2320525512978).

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

2011122111102 is a wasteful number, since it uses less digits than its factorization.

2011122111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783616827.

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

Adding to 2011122111102 its reverse (2011112211102), we get a palindrome (4022234322204).

The spelling of 2011122111102 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred two".