101000101001057 has 2 divisors, whose sum is σ = 101000101001058. Its totient is φ = 101000101001056.

The previous prime is 101000101001027. The next prime is 101000101001201. The reversal of 101000101001057 is 750100101000101.

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., 80423571190561 + 20576529810496 = 8967919^2 + 4536136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000101001057 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000101001027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050500528 + 50500050500529.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050500529).

Almost surely, 2^{101000101001057} is an apocalyptic number.

It is an amenable number.

101000101001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101001057 is an equidigital number, since it uses as much as digits as its factorization.

101000101001057 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 101000101001057 its reverse (750100101000101), we get a palindrome (851100202001158).

The spelling of 101000101001057 in words is "one hundred one trillion, one hundred one million, one thousand, fifty-seven".