12200121001001 has 2 divisors, whose sum is σ = 12200121001002. Its totient is φ = 12200121001000.

The previous prime is 12200121000889. The next prime is 12200121001007. The reversal of 12200121001001 is 10010012100221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6858008688400 + 5342112312601 = 2618780^2 + 2311301^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200121001001 - 2²² = 12200116806697 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200121001007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100060500500 + 6100060500501.

It is an arithmetic number, because the mean of its divisors is an integer number (6100060500501).

Almost surely, 2^{12200121001001} is an apocalyptic number.

It is an amenable number.

12200121001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200121001001 is an equidigital number, since it uses as much as digits as its factorization.

12200121001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12200121001001 its reverse (10010012100221), we get a palindrome (22210133101222).

The spelling of 12200121001001 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one thousand, one".