10001102193 has 24 divisors (see below), whose sum is σ = 15302844648. Its totient is φ = 6272312832.

The previous prime is 10001102171. The next prime is 10001102207. The reversal of 10001102193 is 39120110001.

It can be written as a sum of positive squares in 4 ways, for example, as 438609249 + 9562492944 = 20943^2 + 97788^2 .

It is not a de Polignac number, because 10001102193 - 2¹⁰ = 10001101169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001102093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346755 + ... + 374487.

It is an arithmetic number, because the mean of its divisors is an integer number (637618527).

Almost surely, 2^10001102193 is an apocalyptic number.

It is an amenable number.

10001102193 is a deficient number, since it is larger than the sum of its proper divisors (5301742455).

10001102193 is a wasteful number, since it uses less digits than its factorization.

10001102193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30113 (or 30110 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10001102193 its reverse (39120110001), we get a palindrome (49121212194).

The spelling of 10001102193 in words is "ten billion, one million, one hundred two thousand, one hundred ninety-three".