100001001202002 has 192 divisors, whose sum is σ = 224817500194560. Its totient is φ = 32107368384000.

The previous prime is 100001001201967. The next prime is 100001001202019. The reversal of 100001001202002 is 200202100100001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17995498608 + ... + 17995504164.

It is an arithmetic number, because the mean of its divisors is an integer number (1170924480180).

Almost surely, 2^{100001001202002} is an apocalyptic number.

100001001202002 is an abundant number, since it is smaller than the sum of its proper divisors (124816498992558).

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

100001001202002 is a wasteful number, since it uses less digits than its factorization.

100001001202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6766 counting only the distinct ones).

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

Adding to 100001001202002 its reverse (200202100100001), we get a palindrome (300203101302003).

The spelling of 100001001202002 in words is "one hundred trillion, one billion, one million, two hundred two thousand, two".