12200000201101 has 16 divisors (see below), whose sum is σ = 12940235708400. Its totient is φ = 11462276947968.

The previous prime is 12200000201093. The next prime is 12200000201111. The reversal of 12200000201101 is 10110200000221.

It can be written as a sum of positive squares in 8 ways, for example, as 3106850415876 + 9093149785225 = 1762626^2 + 3015485^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200000201101 - 2³ = 12200000201093 is a prime.

It is a super-2 number, since 2×12200000201101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200000201111) 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 15 ways as a sum of consecutive naturals, for example, 234548785 + ... + 234600793.

It is an arithmetic number, because the mean of its divisors is an integer number (808764731775).

Almost surely, 2^{12200000201101} is an apocalyptic number.

It is an amenable number.

12200000201101 is a deficient number, since it is larger than the sum of its proper divisors (740235507299).

12200000201101 is a wasteful number, since it uses less digits than its factorization.

12200000201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75888.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12200000201101 its reverse (10110200000221), we get a palindrome (22310200201322).

The spelling of 12200000201101 in words is "twelve trillion, two hundred billion, two hundred one thousand, one hundred one".