12200100202001 has 32 divisors (see below), whose sum is σ = 12660003972000. Its totient is φ = 11748825169920.

The previous prime is 12200100201953. The next prime is 12200100202013. The reversal of 12200100202001 is 10020200100221.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2562496608400 + 9637603593601 = 1600780^2 + 3104449^2 .

It is not a de Polignac number, because 12200100202001 - 2²⁶ = 12200033093137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12200100202501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748613425 + ... + 1748620401.

It is an arithmetic number, because the mean of its divisors is an integer number (395625124125).

Almost surely, 2^{12200100202001} is an apocalyptic number.

It is an amenable number.

12200100202001 is a deficient number, since it is larger than the sum of its proper divisors (459903769999).

12200100202001 is a wasteful number, since it uses less digits than its factorization.

12200100202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200100202001 its reverse (10020200100221), we get a palindrome (22220300302222).

The spelling of 12200100202001 in words is "twelve trillion, two hundred billion, one hundred million, two hundred two thousand, one".