11202211013301 has 96 divisors (see below), whose sum is σ = 20974166793216. Its totient is φ = 5592657312000.

The previous prime is 11202211013293. The next prime is 11202211013309. The reversal of 11202211013301 is 10331011220211.

11202211013301 is a `hidden beast` number, since 1 + 12 + 0 + 221 + 101 + 330 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (11202211013293) and next prime (11202211013309).

It is not a de Polignac number, because 11202211013301 - 2³ = 11202211013293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202211013309) 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 95 ways as a sum of consecutive naturals, for example, 1038595 + ... + 4845936.

It is an arithmetic number, because the mean of its divisors is an integer number (218480904096).

Almost surely, 2^{11202211013301} is an apocalyptic number.

11202211013301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11202211013301 is a deficient number, since it is larger than the sum of its proper divisors (9771955779915).

11202211013301 is a wasteful number, since it uses less digits than its factorization.

11202211013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884663 (or 5884660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11202211013301 its reverse (10331011220211), we get a palindrome (21533222233512).

The spelling of 11202211013301 in words is "eleven trillion, two hundred two billion, two hundred eleven million, thirteen thousand, three hundred one".