2011122111090 has 32 divisors (see below), whose sum is σ = 4831208291520. Its totient is φ = 535797537984.

The previous prime is 2011122111049. The next prime is 2011122111091. The reversal of 2011122111090 is 901112211102.

It is a super-2 number, since 2×2011122111090² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2011122111091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31323124 + ... + 31387263.

It is an arithmetic number, because the mean of its divisors is an integer number (150975259110).

Almost surely, 2^{2011122111090} is an apocalyptic number.

2011122111090 is an abundant number, since it is smaller than the sum of its proper divisors (2820086180430).

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

2011122111090 is a wasteful number, since it uses less digits than its factorization.

2011122111090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62711466.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 2011122111090 its reverse (901112211102), we get a palindrome (2912234322192).

It can be divided in two parts, 2011122 and 111090, that added together give a palindrome (2122212).

The spelling of 2011122111090 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, ninety".