1002010100002 has 32 divisors (see below), whose sum is σ = 1534196452464. Its totient is φ = 490684185600.

The previous prime is 1002010099973. The next prime is 1002010100011. The reversal of 1002010100002 is 2000010102001.

It can be written as a sum of positive squares in 8 ways, for example, as 764070040321 + 237940059681 = 874111^2 + 487791^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51173238 + ... + 51192814.

Almost surely, 2^{1002010100002} is an apocalyptic number.

1002010100002 is a deficient number, since it is larger than the sum of its proper divisors (532186352462).

1002010100002 is a wasteful number, since it uses less digits than its factorization.

1002010100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21414.

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

Adding to 1002010100002 its reverse (2000010102001), we get a palindrome (3002020202003).

The spelling of 1002010100002 in words is "one trillion, two billion, ten million, one hundred thousand, two".