111010001057 has 2 divisors, whose sum is σ = 111010001058. Its totient is φ = 111010001056.

The previous prime is 111010000961. The next prime is 111010001077. The reversal of 111010001057 is 750100010111.

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., 89542183696 + 21467817361 = 299236^2 + 146519^2 .

It is an emirp because it is prime and its reverse (750100010111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111010001057 - 2¹⁸ = 111009738913 is a prime.

It is a super-2 number, since 2×111010001057² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111010001077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505000528 + 55505000529.

It is an arithmetic number, because the mean of its divisors is an integer number (55505000529).

Almost surely, 2^111010001057 is an apocalyptic number.

It is an amenable number.

111010001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010001057 is an equidigital number, since it uses as much as digits as its factorization.

111010001057 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 111010001057 its reverse (750100010111), we get a palindrome (861110011168).

The spelling of 111010001057 in words is "one hundred eleven billion, ten million, one thousand, fifty-seven".