2002001010010 has 16 divisors (see below), whose sum is σ = 3652966227816. Its totient is φ = 789830535168.

The previous prime is 2002001009951. The next prime is 2002001010043. The reversal of 2002001010010 is 100101002002.

It can be written as a sum of positive squares in 4 ways, for example, as 1962798198001 + 39202812009 = 1400999^2 + 197997^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002001009975 and 2002001010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1371232839 + ... + 1371234298.

Almost surely, 2^{2002001010010} is an apocalyptic number.

2002001010010 is a deficient number, since it is larger than the sum of its proper divisors (1650965217806).

2002001010010 is a wasteful number, since it uses less digits than its factorization.

2002001010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742467217.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2002001010010 its reverse (100101002002), we get a palindrome (2102102012012).

The spelling of 2002001010010 in words is "two trillion, two billion, one million, ten thousand, ten".