12001102033201 has 2 divisors, whose sum is σ = 12001102033202. Its totient is φ = 12001102033200.

The previous prime is 12001102033199. The next prime is 12001102033253. The reversal of 12001102033201 is 10233020110021.

12001102033201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11160944640000 + 840157393201 = 3340800^2 + 916601^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001102033201 - 2¹ = 12001102033199 is a prime.

It is a super-2 number, since 2×12001102033201² (a number of 27 digits) contains 22 as substring.

Together with 12001102033199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12001102031201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000551016600 + 6000551016601.

It is an arithmetic number, because the mean of its divisors is an integer number (6000551016601).

Almost surely, 2^{12001102033201} is an apocalyptic number.

It is an amenable number.

12001102033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001102033201 is an equidigital number, since it uses as much as digits as its factorization.

12001102033201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12001102033201 its reverse (10233020110021), we get a palindrome (22234122143222).

The spelling of 12001102033201 in words is "twelve trillion, one billion, one hundred two million, thirty-three thousand, two hundred one".