10102222102013 has 4 divisors (see below), whose sum is σ = 10428100234368. Its totient is φ = 9776343969660.

The previous prime is 10102222101977. The next prime is 10102222102019. The reversal of 10102222102013 is 31020122220101.

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 a cyclic number.

It is not a de Polignac number, because 10102222102013 - 2²⁴ = 10102205324797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102222101982 and 10102222102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102222102019) 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, 162939066131 + ... + 162939066192.

It is an arithmetic number, because the mean of its divisors is an integer number (2607025058592).

Almost surely, 2^{10102222102013} is an apocalyptic number.

It is an amenable number.

10102222102013 is a deficient number, since it is larger than the sum of its proper divisors (325878132355).

10102222102013 is an equidigital number, since it uses as much as digits as its factorization.

10102222102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325878132354.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10102222102013 its reverse (31020122220101), we get a palindrome (41122344322114).

The spelling of 10102222102013 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, one hundred two thousand, thirteen".