10011200001157 has 2 divisors, whose sum is σ = 10011200001158. Its totient is φ = 10011200001156.

The previous prime is 10011200001059. The next prime is 10011200001169. The reversal of 10011200001157 is 75110000211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5328091926756 + 4683108074401 = 2308266^2 + 2164049^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011200001157 - 2³¹ = 10009052517509 is a prime.

It is a super-3 number, since 3×10011200001157³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011200001557) 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, 5005600000578 + 5005600000579.

It is an arithmetic number, because the mean of its divisors is an integer number (5005600000579).

Almost surely, 2^{10011200001157} is an apocalyptic number.

It is an amenable number.

10011200001157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011200001157 is an equidigital number, since it uses as much as digits as its factorization.

10011200001157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 10011200001157 its reverse (75110000211001), we get a palindrome (85121200212158).

The spelling of 10011200001157 in words is "ten trillion, eleven billion, two hundred million, one thousand, one hundred fifty-seven".