1001102222213 has 16 divisors (see below), whose sum is σ = 1023604536240. Its totient is φ = 978917474304.

The previous prime is 1001102222203. The next prime is 1001102222273. The reversal of 1001102222213 is 3122222011001.

1001102222213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 466540909444 + 534561312769 = 683038^2 + 731137^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001102222213 - 2²⁶ = 1001035113349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001102222191 and 1001102222200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102222203) 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, 2695445 + ... + 3044277.

It is an arithmetic number, because the mean of its divisors is an integer number (63975283515).

Almost surely, 2^{1001102222213} is an apocalyptic number.

It is an amenable number.

1001102222213 is a deficient number, since it is larger than the sum of its proper divisors (22502314027).

1001102222213 is a wasteful number, since it uses less digits than its factorization.

1001102222213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349288.

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

Adding to 1001102222213 its reverse (3122222011001), we get a palindrome (4123324233214).

The spelling of 1001102222213 in words is "one trillion, one billion, one hundred two million, two hundred twenty-two thousand, two hundred thirteen".