10010101110137 has 2 divisors, whose sum is σ = 10010101110138. Its totient is φ = 10010101110136.

The previous prime is 10010101110089. The next prime is 10010101110263. The reversal of 10010101110137 is 73101110101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10006776895801 + 3324214336 = 3163349^2 + 57656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010101110137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010101110437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050555068 + 5005050555069.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050555069).

Almost surely, 2^{10010101110137} is an apocalyptic number.

It is an amenable number.

10010101110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101110137 is an equidigital number, since it uses as much as digits as its factorization.

10010101110137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 10010101110137 its reverse (73101110101001), we get a palindrome (83111211211138).

The spelling of 10010101110137 in words is "ten trillion, ten billion, one hundred one million, one hundred ten thousand, one hundred thirty-seven".