10010010110137 has 2 divisors, whose sum is σ = 10010010110138. Its totient is φ = 10010010110136.

The previous prime is 10010010110059. The next prime is 10010010110213. The reversal of 10010010110137 is 73101101001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7169777390736 + 2840232719401 = 2677644^2 + 1685299^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010010110137 - 2³⁵ = 9975650371769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010010110137.

It is not a weakly prime, because it can be changed into another prime (10010010110237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005055068 + 5005005055069.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005055069).

Almost surely, 2^{10010010110137} is an apocalyptic number.

It is an amenable number.

10010010110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010010110137 is an equidigital number, since it uses as much as digits as its factorization.

10010010110137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 10010010110137 its reverse (73101101001001), we get a palindrome (83111111111138).

The spelling of 10010010110137 in words is "ten trillion, ten billion, ten million, one hundred ten thousand, one hundred thirty-seven".