2002100001 has 24 divisors (see below), whose sum is σ = 3028876032. Its totient is φ = 1174245600.

The previous prime is 2002099943. The next prime is 2002100027. The reversal of 2002100001 is 1000012002.

It is a happy number.

It is not a de Polignac number, because 2002100001 - 2¹³ = 2002091809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002100071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77706 + ... + 100211.

It is an arithmetic number, because the mean of its divisors is an integer number (126203168).

Almost surely, 2^2002100001 is an apocalyptic number.

It is an amenable number.

2002100001 is a deficient number, since it is larger than the sum of its proper divisors (1026776031).

2002100001 is a wasteful number, since it uses less digits than its factorization.

2002100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177973 (or 177962 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2002100001 is about 44744.8321150052. The cubic root of 2002100001 is about 1260.3618682218.

Adding to 2002100001 its reverse (1000012002), we get a palindrome (3002112003).

It can be divided in two parts, 2002 and 100001, that multiplied together give a palindrome (200202002).

The spelling of 2002100001 in words is "two billion, two million, one hundred thousand, one".