11221122000011 has 16 divisors (see below), whose sum is σ = 13993607247360. Its totient is φ = 8741458327680.

The previous prime is 11221121999993. The next prime is 11221122000029. The reversal of 11221122000011 is 11000022112211.

It is an interprime number because it is at equal distance from previous prime (11221121999993) and next prime (11221122000029).

It is a cyclic number.

It is not a de Polignac number, because 11221122000011 - 2⁶ = 11221121999947 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11221122000011.

It is not an unprimeable number, because it can be changed into a prime (11221122000071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18644366 + ... + 19236803.

It is an arithmetic number, because the mean of its divisors is an integer number (874600452960).

Almost surely, 2^{11221122000011} is an apocalyptic number.

11221122000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221122000011 is a deficient number, since it is larger than the sum of its proper divisors (2772485247349).

11221122000011 is a wasteful number, since it uses less digits than its factorization.

11221122000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37885034.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221122000011 its reverse (11000022112211), we get a palindrome (22221144112222).

The spelling of 11221122000011 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, eleven", and thus it is an aban number.