1122112121153 has 2 divisors, whose sum is σ = 1122112121154. Its totient is φ = 1122112121152.

The previous prime is 1122112121131. The next prime is 1122112121159. The reversal of 1122112121153 is 3511212112211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 603320367169 + 518791753984 = 776737^2 + 720272^2 .

It is an emirp because it is prime and its reverse (3511212112211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1122112121153 - 2¹⁴ = 1122112104769 is a prime.

It is a super-2 number, since 2×1122112121153² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1122112121159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561056060576 + 561056060577.

It is an arithmetic number, because the mean of its divisors is an integer number (561056060577).

Almost surely, 2^{1122112121153} is an apocalyptic number.

It is an amenable number.

1122112121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122112121153 is an equidigital number, since it uses as much as digits as its factorization.

1122112121153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 23.

Adding to 1122112121153 its reverse (3511212112211), we get a palindrome (4633324233364).

The spelling of 1122112121153 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred fifty-three".