2002101010001 has 8 divisors (see below), whose sum is σ = 2003544402600. Its totient is φ = 2000657957760.

The previous prime is 2002101009983. The next prime is 2002101010003. The reversal of 2002101010001 is 1000101012002.

It can be written as a sum of positive squares in 4 ways, for example, as 2566435600 + 1999534574401 = 50660^2 + 1414049^2 .

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 2002101010001 - 2¹⁰ = 2002101008977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002101010003) 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, 12330935 + ... + 12492243.

It is an arithmetic number, because the mean of its divisors is an integer number (250443050325).

Almost surely, 2^{2002101010001} is an apocalyptic number.

It is an amenable number.

2002101010001 is a deficient number, since it is larger than the sum of its proper divisors (1443392599).

2002101010001 is a wasteful number, since it uses less digits than its factorization.

2002101010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170179.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2002101010001 its reverse (1000101012002), we get a palindrome (3002202022003).

The spelling of 2002101010001 in words is "two trillion, two billion, one hundred one million, ten thousand, one".