201001012201001 has 2 divisors, whose sum is σ = 201001012201002. Its totient is φ = 201001012201000.

The previous prime is 201001012200941. The next prime is 201001012201009. The reversal of 201001012201001 is 100102210100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130240614114601 + 70760398086400 = 11412301^2 + 8411920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201001012201001 is a prime.

It is not a weakly prime, because it can be changed into another prime (201001012201009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500506100500 + 100500506100501.

It is an arithmetic number, because the mean of its divisors is an integer number (100500506100501).

Almost surely, 2^{201001012201001} is an apocalyptic number.

It is an amenable number.

201001012201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001012201001 is an equidigital number, since it uses as much as digits as its factorization.

201001012201001 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 201001012201001 its reverse (100102210100102), we get a palindrome (301103222301103).

The spelling of 201001012201001 in words is "two hundred one trillion, one billion, twelve million, two hundred one thousand, one".