200101200201001 has 96 divisors (see below), whose sum is σ = 242222512976640. Its totient is φ = 164464642805760.

The previous prime is 200101200200939. The next prime is 200101200201013. The reversal of 200101200201001 is 100102002101002.

It is not a de Polignac number, because 200101200201001 - 2¹¹ = 200101200198953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200101200201061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10164118780 + ... + 10164138466.

It is an arithmetic number, because the mean of its divisors is an integer number (2523151176840).

Almost surely, 2^{200101200201001} is an apocalyptic number.

It is an amenable number.

200101200201001 is a deficient number, since it is larger than the sum of its proper divisors (42121312775639).

200101200201001 is a wasteful number, since it uses less digits than its factorization.

200101200201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21455 (or 21444 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200101200201001 its reverse (100102002101002), we get a palindrome (300203202302003).

The spelling of 200101200201001 in words is "two hundred trillion, one hundred one billion, two hundred million, two hundred one thousand, one".