11121111202001 has 24 divisors (see below), whose sum is σ = 11455958966400. Its totient is φ = 10793258704800.

The previous prime is 11121111201961. The next prime is 11121111202027. The reversal of 11121111202001 is 10020211112111.

It is a de Polignac number, because none of the positive numbers 2^k-11121111202001 is a prime.

It is a super-2 number, since 2×11121111202001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121111202031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154126190 + ... + 154198328.

It is an arithmetic number, because the mean of its divisors is an integer number (477331623600).

Almost surely, 2^{11121111202001} is an apocalyptic number.

It is an amenable number.

11121111202001 is a deficient number, since it is larger than the sum of its proper divisors (334847764399).

11121111202001 is an equidigital number, since it uses as much as digits as its factorization.

11121111202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72597 (or 72458 counting only the distinct ones).

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

Adding to 11121111202001 its reverse (10020211112111), we get a palindrome (21141322314112).

The spelling of 11121111202001 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven million, two hundred two thousand, one".