1122101200601 has 2 divisors, whose sum is σ = 1122101200602. Its totient is φ = 1122101200600.

The previous prime is 1122101200567. The next prime is 1122101200631. The reversal of 1122101200601 is 1060021012211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1120475175625 + 1626024976 = 1058525^2 + 40324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1122101200601 is a prime.

It is a super-2 number, since 2×1122101200601² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1122101200601.

It is not a weakly prime, because it can be changed into another prime (1122101200631) 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, 561050600300 + 561050600301.

It is an arithmetic number, because the mean of its divisors is an integer number (561050600301).

Almost surely, 2^{1122101200601} is an apocalyptic number.

It is an amenable number.

1122101200601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122101200601 is an equidigital number, since it uses as much as digits as its factorization.

1122101200601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1122101200601 its reverse (1060021012211), we get a palindrome (2182122212812).

The spelling of 1122101200601 in words is "one trillion, one hundred twenty-two billion, one hundred one million, two hundred thousand, six hundred one".