12200220102001 has 8 divisors (see below), whose sum is σ = 12390570073640. Its totient is φ = 12011295973248.

The previous prime is 12200220101977. The next prime is 12200220102011. The reversal of 12200220102001 is 10020102200221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5002160375601 + 7198059726400 = 2236551^2 + 2682920^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12200220102001 - 2¹¹ = 12200220099953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200220102011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356443476 + ... + 356477701.

It is an arithmetic number, because the mean of its divisors is an integer number (1548821259205).

Almost surely, 2^{12200220102001} is an apocalyptic number.

It is an amenable number.

12200220102001 is a deficient number, since it is larger than the sum of its proper divisors (190349971639).

12200220102001 is a wasteful number, since it uses less digits than its factorization.

12200220102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712921443.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12200220102001 its reverse (10020102200221), we get a palindrome (22220322302222).

The spelling of 12200220102001 in words is "twelve trillion, two hundred billion, two hundred twenty million, one hundred two thousand, one".