11012121101121 has 48 divisors (see below), whose sum is σ = 17153355939840. Its totient is φ = 6265678678560.

The previous prime is 11012121101119. The next prime is 11012121101221. The reversal of 11012121101121 is 12110112121011.

It is not a de Polignac number, because 11012121101121 - 2¹ = 11012121101119 is a prime.

It is a super-2 number, since 2×11012121101121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11012121101121.

It is not an unprimeable number, because it can be changed into a prime (11012121101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33654976 + ... + 33980606.

It is an arithmetic number, because the mean of its divisors is an integer number (357361582080).

Almost surely, 2^{11012121101121} is an apocalyptic number.

It is an amenable number.

11012121101121 is a deficient number, since it is larger than the sum of its proper divisors (6141234838719).

11012121101121 is a wasteful number, since it uses less digits than its factorization.

11012121101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326634 (or 326627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11012121101121 its reverse (12110112121011), we get a palindrome (23122233222132).

The spelling of 11012121101121 in words is "eleven trillion, twelve billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-one".