10011009838957 has 2 divisors, whose sum is σ = 10011009838958. Its totient is φ = 10011009838956.

The previous prime is 10011009838927. The next prime is 10011009838987. The reversal of 10011009838957 is 75983890011001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10011009838927) and next prime (10011009838987).

It can be written as a sum of positive squares in only one way, i.e., 7491136156036 + 2519873682921 = 2736994^2 + 1587411^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011009838957 - 2³⁵ = 9976650100589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011009838927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005504919478 + 5005504919479.

It is an arithmetic number, because the mean of its divisors is an integer number (5005504919479).

Almost surely, 2^{10011009838957} is an apocalyptic number.

It is an amenable number.

10011009838957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011009838957 is an equidigital number, since it uses as much as digits as its factorization.

10011009838957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 52.

Adding to 10011009838957 its reverse (75983890011001), we get a palindrome (85994899849958).

The spelling of 10011009838957 in words is "ten trillion, eleven billion, nine million, eight hundred thirty-eight thousand, nine hundred fifty-seven".