10100000002002 has 64 divisors (see below), whose sum is σ = 21050768592000. Its totient is φ = 3226594065408.

The previous prime is 10100000001967. The next prime is 10100000002013. The reversal of 10100000002002 is 20020000000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141912058 + ... + 141983210.

It is an arithmetic number, because the mean of its divisors is an integer number (328918259250).

Almost surely, 2^{10100000002002} is an apocalyptic number.

10100000002002 is an abundant number, since it is smaller than the sum of its proper divisors (10950768589998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100000002002 is a wasteful number, since it uses less digits than its factorization.

10100000002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77195.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10100000002002 its reverse (20020000000101), we get a palindrome (30120000002103).

The spelling of 10100000002002 in words is "ten trillion, one hundred billion, two thousand, two".