1010100101057 has 2 divisors, whose sum is σ = 1010100101058. Its totient is φ = 1010100101056.

The previous prime is 1010100101039. The next prime is 1010100101107. The reversal of 1010100101057 is 7501010010101.

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., 848432578816 + 161667522241 = 921104^2 + 402079^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100101057 - 2¹⁴ = 1010100084673 is a prime.

It is a super-2 number, since 2×1010100101057² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010100131057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050050528 + 505050050529.

It is an arithmetic number, because the mean of its divisors is an integer number (505050050529).

Almost surely, 2^{1010100101057} is an apocalyptic number.

It is an amenable number.

1010100101057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100101057 is an equidigital number, since it uses as much as digits as its factorization.

1010100101057 is an evil number, because the sum of its binary digits is even.

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

Adding to 1010100101057 its reverse (7501010010101), we get a palindrome (8511110111158).

The spelling of 1010100101057 in words is "one trillion, ten billion, one hundred million, one hundred one thousand, fifty-seven".