1000000201001 has 8 divisors (see below), whose sum is σ = 1001383511304. Its totient is φ = 998617800960.

The previous prime is 1000000200931. The next prime is 1000000201003. The reversal of 1000000201001 is 1001020000001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14030639401 + 985969561600 = 118451^2 + 992960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000000201001 - 2³⁴ = 982820331817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000000201003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1985975 + ... + 2438051.

It is an arithmetic number, because the mean of its divisors is an integer number (125172938913).

Almost surely, 2^{1000000201001} is an apocalyptic number.

It is an amenable number.

1000000201001 is a deficient number, since it is larger than the sum of its proper divisors (1383310303).

1000000201001 is a wasteful number, since it uses less digits than its factorization.

1000000201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455131.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1000000201001 its reverse (1001020000001), we get a palindrome (2001020201002).

The spelling of 1000000201001 in words is "one trillion, two hundred one thousand, one".