11143212113121 has 192 divisors, whose sum is σ = 17772300564480. Its totient is φ = 6141172101120.

The previous prime is 11143212113107. The next prime is 11143212113123. The reversal of 11143212113121 is 12131121234111.

It is not a de Polignac number, because 11143212113121 - 2⁶ = 11143212113057 is a prime.

It is a super-3 number, since 3×11143212113121³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11143212113091 and 11143212113100.

It is not an unprimeable number, because it can be changed into a prime (11143212113123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22153502956 + ... + 22153503458.

It is an arithmetic number, because the mean of its divisors is an integer number (92564065440).

Almost surely, 2^{11143212113121} is an apocalyptic number.

11143212113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11143212113121 is a deficient number, since it is larger than the sum of its proper divisors (6629088451359).

11143212113121 is a wasteful number, since it uses less digits than its factorization.

11143212113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 873 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

Adding to 11143212113121 its reverse (12131121234111), we get a palindrome (23274333347232).

The spelling of 11143212113121 in words is "eleven trillion, one hundred forty-three billion, two hundred twelve million, one hundred thirteen thousand, one hundred twenty-one".