201001122001 has 2 divisors, whose sum is σ = 201001122002. Its totient is φ = 201001122000.

The previous prime is 201001121989. The next prime is 201001122067. The reversal of 201001122001 is 100221100102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192720122001 + 8281000000 = 438999^2 + 91000^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001122001 - 2¹⁷ = 201000990929 is a prime.

It is not a weakly prime, because it can be changed into another prime (201001122071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500561000 + 100500561001.

It is an arithmetic number, because the mean of its divisors is an integer number (100500561001).

Almost surely, 2^201001122001 is an apocalyptic number.

It is an amenable number.

201001122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001122001 is an equidigital number, since it uses as much as digits as its factorization.

201001122001 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 10.

Adding to 201001122001 its reverse (100221100102), we get a palindrome (301222222103).

The spelling of 201001122001 in words is "two hundred one billion, one million, one hundred twenty-two thousand, one".