11122101001121 has 16 divisors (see below), whose sum is σ = 12164103965376. Its totient is φ = 10085251200000.

The previous prime is 11122101001031. The next prime is 11122101001163. The reversal of 11122101001121 is 12110010122111.

It is a cyclic number.

It is not a de Polignac number, because 11122101001121 - 2¹⁰ = 11122101000097 is a prime.

It is a super-2 number, since 2×11122101001121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11122101001096 and 11122101001105.

It is not an unprimeable number, because it can be changed into a prime (11122101001321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100034441 + ... + 100145561.

It is an arithmetic number, because the mean of its divisors is an integer number (760256497836).

Almost surely, 2^{11122101001121} is an apocalyptic number.

11122101001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122101001121 is a deficient number, since it is larger than the sum of its proper divisors (1042002964255).

11122101001121 is a wasteful number, since it uses less digits than its factorization.

11122101001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134224.

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

Adding to 11122101001121 its reverse (12110010122111), we get a palindrome (23232111123232).

The spelling of 11122101001121 in words is "eleven trillion, one hundred twenty-two billion, one hundred one million, one thousand, one hundred twenty-one".