1121011011157 has 2 divisors, whose sum is σ = 1121011011158. Its totient is φ = 1121011011156.

The previous prime is 1121011011137. The next prime is 1121011011193. The reversal of 1121011011157 is 7511101101211.

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., 1114441260241 + 6569750916 = 1055671^2 + 81054^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121011011157 - 2¹¹ = 1121011009109 is a prime.

It is a super-3 number, since 3×1121011011157³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1121011011137) 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, 560505505578 + 560505505579.

It is an arithmetic number, because the mean of its divisors is an integer number (560505505579).

Almost surely, 2^{1121011011157} is an apocalyptic number.

It is an amenable number.

1121011011157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121011011157 is an equidigital number, since it uses as much as digits as its factorization.

1121011011157 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 22.

Adding to 1121011011157 its reverse (7511101101211), we get a palindrome (8632112112368).

The spelling of 1121011011157 in words is "one trillion, one hundred twenty-one billion, eleven million, eleven thousand, one hundred fifty-seven".