1002002310001 has 64 divisors (see below), whose sum is σ = 1336884756480. Its totient is φ = 727005864960.

The previous prime is 1002002309963. The next prime is 1002002310017. The reversal of 1002002310001 is 1000132002001.

It is not a de Polignac number, because 1002002310001 - 2⁷ = 1002002309873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002002310001.

It is not an unprimeable number, because it can be changed into a prime (1002002310061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165699360 + ... + 165705406.

It is an arithmetic number, because the mean of its divisors is an integer number (20888824320).

Almost surely, 2^{1002002310001} is an apocalyptic number.

1002002310001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002002310001 is a deficient number, since it is larger than the sum of its proper divisors (334882446479).

1002002310001 is a wasteful number, since it uses less digits than its factorization.

1002002310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1002002310001 its reverse (1000132002001), we get a palindrome (2002134312002).

The spelling of 1002002310001 in words is "one trillion, two billion, two million, three hundred ten thousand, one".