100010100110057 has 2 divisors, whose sum is σ = 100010100110058. Its totient is φ = 100010100110056.

The previous prime is 100010100110033. The next prime is 100010100110149. The reversal of 100010100110057 is 750011001010001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73524862712896 + 26485237397161 = 8574664^2 + 5146381^2 .

It is an emirp because it is prime and its reverse (750011001010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010100110057 - 2²² = 100010095915753 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010100110027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050055028 + 50005050055029.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050055029).

Almost surely, 2^{100010100110057} is an apocalyptic number.

It is an amenable number.

100010100110057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100110057 is an equidigital number, since it uses as much as digits as its factorization.

100010100110057 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 100010100110057 its reverse (750011001010001), we get a palindrome (850021101120058).

The spelling of 100010100110057 in words is "one hundred trillion, ten billion, one hundred million, one hundred ten thousand, fifty-seven".