1122101001121 has 2 divisors, whose sum is σ = 1122101001122. Its totient is φ = 1122101001120.

The previous prime is 1122101001067. The next prime is 1122101001187. The reversal of 1122101001121 is 1211001012211.

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., 993133826721 + 128967174400 = 996561^2 + 359120^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122101001121 - 2²⁹ = 1121564130209 is a prime.

It is a super-2 number, since 2×1122101001121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1122101001191) 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, 561050500560 + 561050500561.

It is an arithmetic number, because the mean of its divisors is an integer number (561050500561).

Almost surely, 2^{1122101001121} is an apocalyptic number.

It is an amenable number.

1122101001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122101001121 is an equidigital number, since it uses as much as digits as its factorization.

1122101001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1122101001121 its reverse (1211001012211), we get a palindrome (2333102013332).

The spelling of 1122101001121 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one thousand, one hundred twenty-one".