11122201112121 has 56 divisors (see below), whose sum is σ = 18322520539680. Its totient is φ = 6692232830400.

The previous prime is 11122201112101. The next prime is 11122201112123. The reversal of 11122201112121 is 12121110222111.

It is a happy number.

It is not a de Polignac number, because 11122201112121 - 2²³ = 11122192723513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11122201112094 and 11122201112103.

It is not an unprimeable number, because it can be changed into a prime (11122201112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3874500 + ... + 6103781.

It is an arithmetic number, because the mean of its divisors is an integer number (327187866780).

Almost surely, 2^{11122201112121} is an apocalyptic number.

11122201112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122201112121 is a deficient number, since it is larger than the sum of its proper divisors (7200319427559).

11122201112121 is an equidigital number, since it uses as much as digits as its factorization.

11122201112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978449 (or 9978434 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11122201112121 its reverse (12121110222111), we get a palindrome (23243311334232).

The spelling of 11122201112121 in words is "eleven trillion, one hundred twenty-two billion, two hundred one million, one hundred twelve thousand, one hundred twenty-one".