10000102102205 has 8 divisors (see below), whose sum is σ = 12000162005304. Its totient is φ = 8000055360000.

The previous prime is 10000102102181. The next prime is 10000102102223. The reversal of 10000102102205 is 50220120100001.

It can be written as a sum of positive squares in 4 ways, for example, as 961823487076 + 9038278615129 = 980726^2 + 3006373^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000102102205 - 2⁸ = 10000102101949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000102102205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1533296 + ... + 4727705.

It is an arithmetic number, because the mean of its divisors is an integer number (1500020250663).

Almost surely, 2^{10000102102205} is an apocalyptic number.

It is an amenable number.

10000102102205 is a deficient number, since it is larger than the sum of its proper divisors (2000059903099).

10000102102205 is an equidigital number, since it uses as much as digits as its factorization.

10000102102205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580447.

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10000102102205 its reverse (50220120100001), we get a palindrome (60220222202206).

The spelling of 10000102102205 in words is "ten trillion, one hundred two million, one hundred two thousand, two hundred five".