10000010003957 has 2 divisors, whose sum is σ = 10000010003958. Its totient is φ = 10000010003956.

The previous prime is 10000010003947. The next prime is 10000010003987. The reversal of 10000010003957 is 75930001000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5382836168836 + 4617173835121 = 2320094^2 + 2148761^2 .

It is an emirp because it is prime and its reverse (75930001000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000010003957 - 2¹⁴ = 10000009987573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000010003947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005001978 + 5000005001979.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005001979).

Almost surely, 2^{10000010003957} is an apocalyptic number.

It is an amenable number.

10000010003957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010003957 is an equidigital number, since it uses as much as digits as its factorization.

10000010003957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 26.

Adding to 10000010003957 its reverse (75930001000001), we get a palindrome (85930011003958).

The spelling of 10000010003957 in words is "ten trillion, ten million, three thousand, nine hundred fifty-seven".