2002100210009 has 8 divisors (see below), whose sum is σ = 2015461129800. Its totient is φ = 1988746995456.

The previous prime is 2002100209891. The next prime is 2002100210039. The reversal of 2002100210009 is 9000120012002.

It can be written as a sum of positive squares in 4 ways, for example, as 521977350400 + 1480122859609 = 722480^2 + 1216603^2 .

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 2002100210009 - 2¹² = 2002100205913 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002100210039) 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, 1404434 + ... + 2444715.

It is an arithmetic number, because the mean of its divisors is an integer number (251932641225).

Almost surely, 2^{2002100210009} is an apocalyptic number.

It is an amenable number.

2002100210009 is a deficient number, since it is larger than the sum of its proper divisors (13360919791).

2002100210009 is a wasteful number, since it uses less digits than its factorization.

2002100210009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852619.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 2002100210009 in words is "two trillion, two billion, one hundred million, two hundred ten thousand, nine".