2000201091001 has 2 divisors, whose sum is σ = 2000201091002. Its totient is φ = 2000201091000.

The previous prime is 2000201090999. The next prime is 2000201091061. The reversal of 2000201091001 is 1001901020002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1372658276025 + 627542814976 = 1171605^2 + 792176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000201091001 - 2¹ = 2000201090999 is a prime.

Together with 2000201090999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2000201091061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000100545500 + 1000100545501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000100545501).

Almost surely, 2^{2000201091001} is an apocalyptic number.

It is an amenable number.

2000201091001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000201091001 is an equidigital number, since it uses as much as digits as its factorization.

2000201091001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 2000201091001 in words is "two trillion, two hundred one million, ninety-one thousand, one".