1101112101 has 12 divisors (see below), whose sum is σ = 1595057100. Its totient is φ = 731969280.

The previous prime is 1101112079. The next prime is 1101112109. The reversal of 1101112101 is 1012111011.

It can be written as a sum of positive squares in 2 ways, for example, as 872316225 + 228795876 = 29535^2 + 15126^2 .

It is not a de Polignac number, because 1101112101 - 2¹¹ = 1101110053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101112109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172140 + ... + 178421.

It is an arithmetic number, because the mean of its divisors is an integer number (132921425).

Almost surely, 2^1101112101 is an apocalyptic number.

It is an amenable number.

1101112101 is a deficient number, since it is larger than the sum of its proper divisors (493944999).

1101112101 is a wasteful number, since it uses less digits than its factorization.

1101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350916 (or 350913 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1101112101 is about 33183.0092215881. The cubic root of 1101112101 is about 1032.6278769987.

Adding to 1101112101 its reverse (1012111011), we get a palindrome (2113223112).

The spelling of 1101112101 in words is "one billion, one hundred one million, one hundred twelve thousand, one hundred one".