1112001122101 has 2 divisors, whose sum is σ = 1112001122102. Its totient is φ = 1112001122100.

The previous prime is 1112001122041. The next prime is 1112001122117. The reversal of 1112001122101 is 1012211002111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1105544999601 + 6456122500 = 1051449^2 + 80350^2 .

It is a cyclic number.

It is not a de Polignac number, because 1112001122101 - 2¹⁵ = 1112001089333 is a prime.

It is a super-2 number, since 2×1112001122101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1112001122161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556000561050 + 556000561051.

It is an arithmetic number, because the mean of its divisors is an integer number (556000561051).

Almost surely, 2^{1112001122101} is an apocalyptic number.

It is an amenable number.

1112001122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1112001122101 is an equidigital number, since it uses as much as digits as its factorization.

1112001122101 is an evil number, because the sum of its binary digits is even.

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

Adding to 1112001122101 its reverse (1012211002111), we get a palindrome (2124212124212).

The spelling of 1112001122101 in words is "one trillion, one hundred twelve billion, one million, one hundred twenty-two thousand, one hundred one".