10001010838957 has 2 divisors, whose sum is σ = 10001010838958. Its totient is φ = 10001010838956.

The previous prime is 10001010838921. The next prime is 10001010838979. The reversal of 10001010838957 is 75983801010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7533767842441 + 2467242996516 = 2744771^2 + 1570746^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010838957 - 2⁷ = 10001010838829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001010838057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505419478 + 5000505419479.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505419479).

Almost surely, 2^{10001010838957} is an apocalyptic number.

It is an amenable number.

10001010838957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010838957 is an equidigital number, since it uses as much as digits as its factorization.

10001010838957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 43.

Adding to 10001010838957 its reverse (75983801010001), we get a palindrome (85984811848958).

The spelling of 10001010838957 in words is "ten trillion, one billion, ten million, eight hundred thirty-eight thousand, nine hundred fifty-seven".