10002111102201 has 4 divisors (see below), whose sum is σ = 13336148136272. Its totient is φ = 6668074068132.

The previous prime is 10002111102163. The next prime is 10002111102211. The reversal of 10002111102201 is 10220111120001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10002111102201 - 2¹⁹ = 10002110577913 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10002111102211) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1667018517031 + ... + 1667018517036.

It is an arithmetic number, because the mean of its divisors is an integer number (3334037034068).

Almost surely, 2^{10002111102201} is an apocalyptic number.

It is an amenable number.

10002111102201 is a deficient number, since it is larger than the sum of its proper divisors (3334037034071).

10002111102201 is an equidigital number, since it uses as much as digits as its factorization.

10002111102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334037034070.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10002111102201 its reverse (10220111120001), we get a palindrome (20222222222202).

The spelling of 10002111102201 in words is "ten trillion, two billion, one hundred eleven million, one hundred two thousand, two hundred one".