10101002113 has 2 divisors, whose sum is σ = 10101002114. Its totient is φ = 10101002112.

The previous prime is 10101002083. The next prime is 10101002117. The reversal of 10101002113 is 31120010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6364369729 + 3736632384 = 79777^2 + 61128^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101002113 - 2⁹ = 10101001601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101002113.

It is not a weakly prime, because it can be changed into another prime (10101002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050501056 + 5050501057.

It is an arithmetic number, because the mean of its divisors is an integer number (5050501057).

Almost surely, 2^10101002113 is an apocalyptic number.

It is an amenable number.

10101002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101002113 is an equidigital number, since it uses as much as digits as its factorization.

10101002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10101002113 its reverse (31120010101), we get a palindrome (41221012214).

The spelling of 10101002113 in words is "ten billion, one hundred one million, two thousand, one hundred thirteen".