10001100012002 has 32 divisors (see below), whose sum is σ = 17328443011200. Its totient is φ = 4278463015680.

The previous prime is 10001100011999. The next prime is 10001100012041. The reversal of 10001100012002 is 20021000110001.

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, 21668963 + ... + 22125689.

It is an arithmetic number, because the mean of its divisors is an integer number (541513844100).

Almost surely, 2^{10001100012002} is an apocalyptic number.

10001100012002 is a deficient number, since it is larger than the sum of its proper divisors (7327342999198).

10001100012002 is a wasteful number, since it uses less digits than its factorization.

10001100012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515306.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001100012002 its reverse (20021000110001), we get a palindrome (30022100122003).

It can be divided in two parts, 1000110001 and 2002, that multiplied together give a palindrome (2002220222002).

The spelling of 10001100012002 in words is "ten trillion, one billion, one hundred million, twelve thousand, two".