1111121101 has 16 divisors (see below), whose sum is σ = 1141742448. Its totient is φ = 1081036800.

The previous prime is 1111121087. The next prime is 1111121113. The reversal of 1111121101 is 1011211111.

It can be written as a sum of positive squares in 8 ways, for example, as 15444900 + 1095676201 = 3930^2 + 33101^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111121101 - 2⁵ = 1111121069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111121201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2410011 + ... + 2410471.

It is an arithmetic number, because the mean of its divisors is an integer number (71358903).

Almost surely, 2^1111121101 is an apocalyptic number.

It is an amenable number.

1111121101 is a deficient number, since it is larger than the sum of its proper divisors (30621347).

1111121101 is a wasteful number, since it uses less digits than its factorization.

1111121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 2, while the sum is 10.

The square root of 1111121101 is about 33333.4831813299. The cubic root of 1111121101 is about 1035.7472727327.

Adding to 1111121101 its reverse (1011211111), we get a palindrome (2122332212).

The spelling of 1111121101 in words is "one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".