1000201002001 has 32 divisors (see below), whose sum is σ = 1071766241280. Its totient is φ = 931208914944.

The previous prime is 1000201001977. The next prime is 1000201002011. The reversal of 1000201002001 is 1002001020001.

It is not a de Polignac number, because 1000201002001 - 2³³ = 991611067409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000201002011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371958865 + ... + 371961553.

It is an arithmetic number, because the mean of its divisors is an integer number (33492695040).

Almost surely, 2^{1000201002001} is an apocalyptic number.

It is an amenable number.

1000201002001 is a deficient number, since it is larger than the sum of its proper divisors (71565239279).

1000201002001 is a wasteful number, since it uses less digits than its factorization.

1000201002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000201002001 its reverse (1002001020001), we get a palindrome (2002202022002).

The spelling of 1000201002001 in words is "one trillion, two hundred one million, two thousand, one".