11012116011201 has 40 divisors (see below), whose sum is σ = 16512590853000. Its totient is φ = 7313617059840.

The previous prime is 11012116011187. The next prime is 11012116011223. The reversal of 11012116011201 is 10211061121011.

It can be written as a sum of positive squares in 4 ways, for example, as 8251118370576 + 2760997640625 = 2872476^2 + 1661625^2 .

It is not a de Polignac number, because 11012116011201 - 2⁹ = 11012116010689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012116011271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23076345 + ... + 23548713.

It is an arithmetic number, because the mean of its divisors is an integer number (412814771325).

Almost surely, 2^{11012116011201} is an apocalyptic number.

It is an amenable number.

11012116011201 is a deficient number, since it is larger than the sum of its proper divisors (5500474841799).

11012116011201 is an equidigital number, since it uses as much as digits as its factorization.

11012116011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473471 (or 473462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 11012116011201 its reverse (10211061121011), we get a palindrome (21223177132212).

The spelling of 11012116011201 in words is "eleven trillion, twelve billion, one hundred sixteen million, eleven thousand, two hundred one".