10100110010057 has 2 divisors, whose sum is σ = 10100110010058. Its totient is φ = 10100110010056.

The previous prime is 10100110010027. The next prime is 10100110010069. The reversal of 10100110010057 is 75001001100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6503412932041 + 3596697078016 = 2550179^2 + 1896496^2 .

It is an emirp because it is prime and its reverse (75001001100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100110010057 - 2⁴² = 5702063498953 is a prime.

It is a super-3 number, since 3×10100110010057³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10100110010027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055005028 + 5050055005029.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055005029).

Almost surely, 2^{10100110010057} is an apocalyptic number.

It is an amenable number.

10100110010057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110010057 is an equidigital number, since it uses as much as digits as its factorization.

10100110010057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 10100110010057 its reverse (75001001100101), we get a palindrome (85101111110158).

The spelling of 10100110010057 in words is "ten trillion, one hundred billion, one hundred ten million, ten thousand, fifty-seven".