11201201121001 has 2 divisors, whose sum is σ = 11201201121002. Its totient is φ = 11201201121000.

The previous prime is 11201201120987. The next prime is 11201201121023. The reversal of 11201201121001 is 10012110210211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8998200090000 + 2203001031001 = 2999700^2 + 1484251^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201201121001 - 2³³ = 11192611186409 is a prime.

It is a super-3 number, since 3×11201201121001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (11201201121091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600600560500 + 5600600560501.

It is an arithmetic number, because the mean of its divisors is an integer number (5600600560501).

Almost surely, 2^{11201201121001} is an apocalyptic number.

It is an amenable number.

11201201121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201201121001 is an equidigital number, since it uses as much as digits as its factorization.

11201201121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11201201121001 its reverse (10012110210211), we get a palindrome (21213311331212).

The spelling of 11201201121001 in words is "eleven trillion, two hundred one billion, two hundred one million, one hundred twenty-one thousand, one".