10002101222213 has 16 divisors (see below), whose sum is σ = 10377419366400. Its totient is φ = 9630082321200.

The previous prime is 10002101222189. The next prime is 10002101222231. The reversal of 10002101222213 is 31222210120001.

It is a cyclic number.

It is not a de Polignac number, because 10002101222213 - 2¹⁸ = 10002100960069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002101222191 and 10002101222200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002101222273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92672306 + ... + 92780172.

It is an arithmetic number, because the mean of its divisors is an integer number (648588710400).

Almost surely, 2^{10002101222213} is an apocalyptic number.

It is an amenable number.

10002101222213 is a deficient number, since it is larger than the sum of its proper divisors (375318144187).

10002101222213 is a wasteful number, since it uses less digits than its factorization.

10002101222213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123128.

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

Adding to 10002101222213 its reverse (31222210120001), we get a palindrome (41224311342214).

The spelling of 10002101222213 in words is "ten trillion, two billion, one hundred one million, two hundred twenty-two thousand, two hundred thirteen".