11121111121001 has 12 divisors (see below), whose sum is σ = 12937589958852. Its totient is φ = 9531800899488.

The previous prime is 11121111120941. The next prime is 11121111121009. The reversal of 11121111121001 is 10012111112111.

11121111121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9134206621225 + 1986904499776 = 3022285^2 + 1409576^2 .

It is not a de Polignac number, because 11121111121001 - 2³⁴ = 11103931251817 is a prime.

It is a super-2 number, since 2×11121111121001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11121111121009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6091070 + ... + 7703463.

It is an arithmetic number, because the mean of its divisors is an integer number (1078132496571).

Almost surely, 2^{11121111121001} is an apocalyptic number.

It is an amenable number.

11121111121001 is a deficient number, since it is larger than the sum of its proper divisors (1816478837851).

11121111121001 is a wasteful number, since it uses less digits than its factorization.

11121111121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13811000 (or 13810993 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11121111121001 its reverse (10012111112111), we get a palindrome (21133222233112).

The spelling of 11121111121001 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one".