2001201216101 has 2 divisors, whose sum is σ = 2001201216102. Its totient is φ = 2001201216100.

The previous prime is 2001201216071. The next prime is 2001201216173. The reversal of 2001201216101 is 1016121021002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1815634977025 + 185566239076 = 1347455^2 + 430774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001201216101 - 2¹⁰ = 2001201215077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001201216101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001201216191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000600608050 + 1000600608051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000600608051).

Almost surely, 2^{2001201216101} is an apocalyptic number.

It is an amenable number.

2001201216101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001201216101 is an equidigital number, since it uses as much as digits as its factorization.

2001201216101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2001201216101 its reverse (1016121021002), we get a palindrome (3017322237103).

The spelling of 2001201216101 in words is "two trillion, one billion, two hundred one million, two hundred sixteen thousand, one hundred one".