1000102221013 has 8 divisors (see below), whose sum is σ = 1143182696832. Its totient is φ = 857073927696.

The previous prime is 1000102220989. The next prime is 1000102221017. The reversal of 1000102221013 is 3101222010001.

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

It is not a de Polignac number, because 1000102221013 - 2¹³ = 1000102212821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000102220984 and 1000102221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102221017) 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 7 ways as a sum of consecutive naturals, for example, 13004545 + ... + 13081222.

It is an arithmetic number, because the mean of its divisors is an integer number (142897837104).

Almost surely, 2^{1000102221013} is an apocalyptic number.

It is an amenable number.

1000102221013 is a deficient number, since it is larger than the sum of its proper divisors (143080475819).

1000102221013 is an equidigital number, since it uses as much as digits as its factorization.

1000102221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26091251.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1000102221013 its reverse (3101222010001), we get a palindrome (4101324231014).

The spelling of 1000102221013 in words is "one trillion, one hundred two million, two hundred twenty-one thousand, thirteen".