2002031100011 has 8 divisors (see below), whose sum is σ = 2014257612000. Its totient is φ = 1989826248960.

The previous prime is 2002031100007. The next prime is 2002031100019. The reversal of 2002031100011 is 1100011302002.

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 2002031100011 - 2² = 2002031100007 is a prime.

It is a super-2 number, since 2×2002031100011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002031099965 and 2002031100001.

It is not an unprimeable number, because it can be changed into a prime (2002031100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5229800 + ... + 5599541.

It is an arithmetic number, because the mean of its divisors is an integer number (251782201500).

Almost surely, 2^{2002031100011} is an apocalyptic number.

2002031100011 is a deficient number, since it is larger than the sum of its proper divisors (12226511989).

2002031100011 is a wasteful number, since it uses less digits than its factorization.

2002031100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830469.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2002031100011 its reverse (1100011302002), we get a palindrome (3102042402013).

The spelling of 2002031100011 in words is "two trillion, two billion, thirty-one million, one hundred thousand, eleven".