1105112101 has 2 divisors, whose sum is σ = 1105112102. Its totient is φ = 1105112100.

The previous prime is 1105112053. The next prime is 1105112111. The reversal of 1105112101 is 1012115011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1066349025 + 38763076 = 32655^2 + 6226^2 .

It is a cyclic number.

It is not a de Polignac number, because 1105112101 - 2⁹ = 1105111589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1105112111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 552556050 + 552556051.

It is an arithmetic number, because the mean of its divisors is an integer number (552556051).

Almost surely, 2^1105112101 is an apocalyptic number.

It is an amenable number.

1105112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1105112101 is an equidigital number, since it uses as much as digits as its factorization.

1105112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10, while the sum is 13.

The square root of 1105112101 is about 33243.2263927556. The cubic root of 1105112101 is about 1033.8767719265.

Adding to 1105112101 its reverse (1012115011), we get a palindrome (2117227112).

The spelling of 1105112101 in words is "one billion, one hundred five million, one hundred twelve thousand, one hundred one".