1122101199601 has 2 divisors, whose sum is σ = 1122101199602. Its totient is φ = 1122101199600.

The previous prime is 1122101199551. The next prime is 1122101199631. The reversal of 1122101199601 is 1069911012211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 921217959601 + 200883240000 = 959801^2 + 448200^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122101199601 - 2¹⁵ = 1122101166833 is a prime.

It is a super-2 number, since 2×1122101199601² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1122101199631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561050599800 + 561050599801.

It is an arithmetic number, because the mean of its divisors is an integer number (561050599801).

Almost surely, 2^{1122101199601} is an apocalyptic number.

It is an amenable number.

1122101199601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122101199601 is an equidigital number, since it uses as much as digits as its factorization.

1122101199601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 34.

The spelling of 1122101199601 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one hundred ninety-nine thousand, six hundred one".