122201121000011 has 16 divisors (see below), whose sum is σ = 128852026156800. Its totient is φ = 115572175856928.

The previous prime is 122201120999999. The next prime is 122201121000031. The reversal of 122201121000011 is 110000121102221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122201121000011 is a prime.

It is a super-2 number, since 2×122201121000011² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122201121000011.

It is not an unprimeable number, because it can be changed into a prime (122201121000031) 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, 133419065 + ... + 134331861.

It is an arithmetic number, because the mean of its divisors is an integer number (8053251634800).

Almost surely, 2^{122201121000011} is an apocalyptic number.

122201121000011 is a deficient number, since it is larger than the sum of its proper divisors (6650905156789).

122201121000011 is a wasteful number, since it uses less digits than its factorization.

122201121000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924818.

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

Adding to 122201121000011 its reverse (110000121102221), we get a palindrome (232201242102232).

The spelling of 122201121000011 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twenty-one million, eleven", and thus it is an aban number.