1122121120157 has 2 divisors, whose sum is σ = 1122121120158. Its totient is φ = 1122121120156.

The previous prime is 1122121120151. The next prime is 1122121120229. The reversal of 1122121120157 is 7510211212211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 953149974436 + 168971145721 = 976294^2 + 411061^2 .

It is an emirp because it is prime and its reverse (7510211212211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1122121120157 - 2³⁰ = 1121047378333 is a prime.

It is a super-3 number, since 3×1122121120157³ (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 (1122121120151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561060560078 + 561060560079.

It is an arithmetic number, because the mean of its divisors is an integer number (561060560079).

Almost surely, 2^{1122121120157} is an apocalyptic number.

It is an amenable number.

1122121120157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122121120157 is an equidigital number, since it uses as much as digits as its factorization.

1122121120157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 26.

Adding to 1122121120157 its reverse (7510211212211), we get a palindrome (8632332332368).

The spelling of 1122121120157 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred fifty-seven".