11214104231121 has 64 divisors (see below), whose sum is σ = 16994309760000. Its totient is φ = 6515316622080.

The previous prime is 11214104231119. The next prime is 11214104231129. The reversal of 11214104231121 is 12113240141211.

It is not a de Polignac number, because 11214104231121 - 2¹ = 11214104231119 is a prime.

It is a super-2 number, since 2×11214104231121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11214104231091 and 11214104231100.

It is not an unprimeable number, because it can be changed into a prime (11214104231129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158919555 + ... + 158990103.

It is an arithmetic number, because the mean of its divisors is an integer number (265536090000).

Almost surely, 2^{11214104231121} is an apocalyptic number.

11214104231121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11214104231121 is a deficient number, since it is larger than the sum of its proper divisors (5780205528879).

11214104231121 is a wasteful number, since it uses less digits than its factorization.

11214104231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71774.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11214104231121 its reverse (12113240141211), we get a palindrome (23327344372332).

The spelling of 11214104231121 in words is "eleven trillion, two hundred fourteen billion, one hundred four million, two hundred thirty-one thousand, one hundred twenty-one".