1121101112106 has 12 divisors (see below), whose sum is σ = 2429052409602. Its totient is φ = 373700370696.

The previous prime is 1121101112069. The next prime is 1121101112119. The reversal of 1121101112106 is 6012111011211.

It can be written as a sum of positive squares in only one way, i.e., 585211230081 + 535889882025 = 764991^2 + 732045^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 62283395117 = 1121101112106 / (1 + 1 + 2 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 0 + 6).

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 31141697541 + ... + 31141697576.

Almost surely, 2^{1121101112106} is an apocalyptic number.

1121101112106 is an abundant number, since it is smaller than the sum of its proper divisors (1307951297496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121101112106 is a wasteful number, since it uses less digits than its factorization.

1121101112106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62283395125 (or 62283395122 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 1121101112106 its reverse (6012111011211), we get a palindrome (7133212123317).

The spelling of 1121101112106 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred six".