1112131101101 has 2 divisors, whose sum is σ = 1112131101102. Its totient is φ = 1112131101100.

The previous prime is 1112131101089. The next prime is 1112131101127. The reversal of 1112131101101 is 1011011312111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 933687375625 + 178443725476 = 966275^2 + 422426^2 .

It is a cyclic number.

It is not a de Polignac number, because 1112131101101 - 2³⁴ = 1094951231917 is a prime.

It is a super-2 number, since 2×1112131101101² (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 (1112131101161) 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, 556065550550 + 556065550551.

It is an arithmetic number, because the mean of its divisors is an integer number (556065550551).

Almost surely, 2^{1112131101101} is an apocalyptic number.

It is an amenable number.

1112131101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1112131101101 is an equidigital number, since it uses as much as digits as its factorization.

1112131101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1112131101101 its reverse (1011011312111), we get a palindrome (2123142413212).

The spelling of 1112131101101 in words is "one trillion, one hundred twelve billion, one hundred thirty-one million, one hundred one thousand, one hundred one".