2002000101001 has 4 divisors (see below), whose sum is σ = 2010307155604. Its totient is φ = 1993693046400.

The previous prime is 2002000100999. The next prime is 2002000101029. The reversal of 2002000101001 is 1001010002002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1400196523401 + 601803577600 = 1183299^2 + 775760^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000101001 - 2¹ = 2002000100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002000101091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4153526940 + ... + 4153527421.

It is an arithmetic number, because the mean of its divisors is an integer number (502576788901).

Almost surely, 2^{2002000101001} is an apocalyptic number.

It is an amenable number.

2002000101001 is a deficient number, since it is larger than the sum of its proper divisors (8307054603).

2002000101001 is an equidigital number, since it uses as much as digits as its factorization.

2002000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8307054602.

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

Adding to 2002000101001 its reverse (1001010002002), we get a palindrome (3003010103003).

The spelling of 2002000101001 in words is "two trillion, two billion, one hundred one thousand, one".