1010011121057 has 2 divisors, whose sum is σ = 1010011121058. Its totient is φ = 1010011121056.

The previous prime is 1010011121027. The next prime is 1010011121059. The reversal of 1010011121057 is 7501211100101.

1010011121057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 790491697216 + 219519423841 = 889096^2 + 468529^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010011121057 - 2⁸ = 1010011120801 is a prime.

Together with 1010011121059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1010011121059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005560528 + 505005560529.

It is an arithmetic number, because the mean of its divisors is an integer number (505005560529).

Almost surely, 2^{1010011121057} is an apocalyptic number.

It is an amenable number.

1010011121057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010011121057 is an equidigital number, since it uses as much as digits as its factorization.

1010011121057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 20.

Adding to 1010011121057 its reverse (7501211100101), we get a palindrome (8511222221158).

The spelling of 1010011121057 in words is "one trillion, ten billion, eleven million, one hundred twenty-one thousand, fifty-seven".