11201101121261 has 2 divisors, whose sum is σ = 11201101121262. Its totient is φ = 11201101121260.

The previous prime is 11201101121237. The next prime is 11201101121299. The reversal of 11201101121261 is 16212110110211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11089632612100 + 111468509161 = 3330110^2 + 333869^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201101121261 - 2¹⁴ = 11201101104877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11201101126261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600550560630 + 5600550560631.

It is an arithmetic number, because the mean of its divisors is an integer number (5600550560631).

Almost surely, 2^{11201101121261} is an apocalyptic number.

It is an amenable number.

11201101121261 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201101121261 is an equidigital number, since it uses as much as digits as its factorization.

11201101121261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 11201101121261 its reverse (16212110110211), we get a palindrome (27413211231472).

The spelling of 11201101121261 in words is "eleven trillion, two hundred one billion, one hundred one million, one hundred twenty-one thousand, two hundred sixty-one".