11121213401201 has 12 divisors (see below), whose sum is σ = 11437935579252. Its totient is φ = 10809403089888.

The previous prime is 11121213401191. The next prime is 11121213401213. The reversal of 11121213401201 is 10210431212111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9003606361201 + 2117607040000 = 3000601^2 + 1455200^2 .

It is not a de Polignac number, because 11121213401201 - 2³⁴ = 11104033532017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11121213400201) 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, 8557070 + ... + 9770663.

It is an arithmetic number, because the mean of its divisors is an integer number (953161298271).

Almost surely, 2^{11121213401201} is an apocalyptic number.

It is an amenable number.

11121213401201 is a deficient number, since it is larger than the sum of its proper divisors (316722178051).

11121213401201 is an equidigital number, since it uses as much as digits as its factorization.

11121213401201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18328000 (or 18327893 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 11121213401201 its reverse (10210431212111), we get a palindrome (21331644613312).

The spelling of 11121213401201 in words is "eleven trillion, one hundred twenty-one billion, two hundred thirteen million, four hundred one thousand, two hundred one".