2002010001107 has 8 divisors (see below), whose sum is σ = 2004440017536. Its totient is φ = 1999580241472.

The previous prime is 2002010001097. The next prime is 2002010001127. The reversal of 2002010001107 is 7011000102002.

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 2002010001107 - 2¹⁰ = 2002010000083 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002010001091 and 2002010001100.

It is not an unprimeable number, because it can be changed into a prime (2002010001127) 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, 18913373 + ... + 19018929.

It is an arithmetic number, because the mean of its divisors is an integer number (250555002192).

Almost surely, 2^{2002010001107} is an apocalyptic number.

2002010001107 is a deficient number, since it is larger than the sum of its proper divisors (2430016429).

2002010001107 is a wasteful number, since it uses less digits than its factorization.

2002010001107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128397.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 2002010001107 its reverse (7011000102002), we get a palindrome (9013010103109).

The spelling of 2002010001107 in words is "two trillion, two billion, ten million, one thousand, one hundred seven".