12200101221101 has 16 divisors (see below), whose sum is σ = 12229225873200. Its totient is φ = 12171025152000.

The previous prime is 12200101221079. The next prime is 12200101221109. The reversal of 12200101221101 is 10112210100221.

12200101221101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29980576201 + 12170120644900 = 173149^2 + 3488570^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12200101221101 is a prime.

It is a super-2 number, since 2×12200101221101² (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 (12200101221109) 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, 3849825245 + ... + 3849828413.

It is an arithmetic number, because the mean of its divisors is an integer number (764326617075).

Almost surely, 2^{12200101221101} is an apocalyptic number.

It is an amenable number.

12200101221101 is a deficient number, since it is larger than the sum of its proper divisors (29124652099).

12200101221101 is a wasteful number, since it uses less digits than its factorization.

12200101221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320.

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

Adding to 12200101221101 its reverse (10112210100221), we get a palindrome (22312311321322).

The spelling of 12200101221101 in words is "twelve trillion, two hundred billion, one hundred one million, two hundred twenty-one thousand, one hundred one".