10001102222113 has 2 divisors, whose sum is σ = 10001102222114. Its totient is φ = 10001102222112.

The previous prime is 10001102222009. The next prime is 10001102222117. The reversal of 10001102222113 is 31122220110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5101400442384 + 4899701779729 = 2258628^2 + 2213527^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001102222113 - 2¹⁷ = 10001102091041 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001102222117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000551111056 + 5000551111057.

It is an arithmetic number, because the mean of its divisors is an integer number (5000551111057).

Almost surely, 2^{10001102222113} is an apocalyptic number.

It is an amenable number.

10001102222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001102222113 is an equidigital number, since it uses as much as digits as its factorization.

10001102222113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10001102222113 its reverse (31122220110001), we get a palindrome (41123322332114).

It can be divided in two parts, 1000110 and 2222113, that added together give a palindrome (3222223).

The spelling of 10001102222113 in words is "ten trillion, one billion, one hundred two million, two hundred twenty-two thousand, one hundred thirteen".