10010611005137 has 2 divisors, whose sum is σ = 10010611005138. Its totient is φ = 10010611005136.

The previous prime is 10010611005127. The next prime is 10010611005211. The reversal of 10010611005137 is 73150011601001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5425526684176 + 4585084320961 = 2329276^2 + 2141281^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010611005137 - 2⁸ = 10010611004881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010611005127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005305502568 + 5005305502569.

It is an arithmetic number, because the mean of its divisors is an integer number (5005305502569).

Almost surely, 2^{10010611005137} is an apocalyptic number.

It is an amenable number.

10010611005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010611005137 is an equidigital number, since it uses as much as digits as its factorization.

10010611005137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 26.

Adding to 10010611005137 its reverse (73150011601001), we get a palindrome (83160622606138).

The spelling of 10010611005137 in words is "ten trillion, ten billion, six hundred eleven million, five thousand, one hundred thirty-seven".