11211121121 has 16 divisors (see below), whose sum is σ = 12157516800. Its totient is φ = 10297045248.

The previous prime is 11211121091. The next prime is 11211121123. The reversal of 11211121121 is 12112111211.

It is not a de Polignac number, because 11211121121 - 2²² = 11206926817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211121096 and 11211121105.

It is not an unprimeable number, because it can be changed into a prime (11211121123) 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, 892160 + ... + 904638.

It is an arithmetic number, because the mean of its divisors is an integer number (759844800).

Almost surely, 2^11211121121 is an apocalyptic number.

It is an amenable number.

11211121121 is a deficient number, since it is larger than the sum of its proper divisors (946395679).

11211121121 is a wasteful number, since it uses less digits than its factorization.

11211121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768.

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

Adding to 11211121121 its reverse (12112111211), we get a palindrome (23323232332).

It can be divided in two parts, 11211 and 121121, that multiplied together give a palindrome (1357887531).

The spelling of 11211121121 in words is "eleven billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".