10001102002002 has 96 divisors (see below), whose sum is σ = 22246309874880. Its totient is φ = 3245256576000.

The previous prime is 10001102001991. The next prime is 10001102002007. The reversal of 10001102002002 is 20020020110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001102002007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 759320877 + ... + 759334047.

It is an arithmetic number, because the mean of its divisors is an integer number (231732394530).

Almost surely, 2^{10001102002002} is an apocalyptic number.

10001102002002 is an abundant number, since it is smaller than the sum of its proper divisors (12245207872878).

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

10001102002002 is a wasteful number, since it uses less digits than its factorization.

10001102002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15400 (or 15397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001102002002 its reverse (20020020110001), we get a palindrome (30021122112003).

The spelling of 10001102002002 in words is "ten trillion, one billion, one hundred two million, two thousand, two".