12233333101001 has 2 divisors, whose sum is σ = 12233333101002. Its totient is φ = 12233333101000.

The previous prime is 12233333100931. The next prime is 12233333101009. The reversal of 12233333101001 is 10010133333221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9066428124601 + 3166904976400 = 3011051^2 + 1779580^2 .

It is a cyclic number.

It is not a de Polignac number, because 12233333101001 - 2¹⁴ = 12233333084617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12233333101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116666550500 + 6116666550501.

It is an arithmetic number, because the mean of its divisors is an integer number (6116666550501).

Almost surely, 2^{12233333101001} is an apocalyptic number.

It is an amenable number.

12233333101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233333101001 is an equidigital number, since it uses as much as digits as its factorization.

12233333101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 12233333101001 its reverse (10010133333221), we get a palindrome (22243466434222).

The spelling of 12233333101001 in words is "twelve trillion, two hundred thirty-three billion, three hundred thirty-three million, one hundred one thousand, one".