10100102002002 has 16 divisors (see below), whose sum is σ = 22444671115680. Its totient is φ = 3366700667316.

The previous prime is 10100102001989. The next prime is 10100102002007. The reversal of 10100102002002 is 20020020100101.

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 (10100102002007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93519462928 + ... + 93519463035.

It is an arithmetic number, because the mean of its divisors is an integer number (1402791944730).

Almost surely, 2^{10100102002002} is an apocalyptic number.

10100102002002 is an abundant number, since it is smaller than the sum of its proper divisors (12344569113678).

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

10100102002002 is a wasteful number, since it uses less digits than its factorization.

10100102002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187038925974 (or 187038925968 counting only the distinct ones).

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

Adding to 10100102002002 its reverse (20020020100101), we get a palindrome (30120122102103).

The spelling of 10100102002002 in words is "ten trillion, one hundred billion, one hundred two million, two thousand, two".