1121111101101 has 32 divisors (see below), whose sum is σ = 1532630601216. Its totient is φ = 728626752000.

The previous prime is 1121111101069. The next prime is 1121111101153. The reversal of 1121111101101 is 1011011111211.

It is not a de Polignac number, because 1121111101101 - 2⁵ = 1121111101069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121111101801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192594771 + ... + 192600591.

It is an arithmetic number, because the mean of its divisors is an integer number (47894706288).

Almost surely, 2^{1121111101101} is an apocalyptic number.

It is an amenable number.

1121111101101 is a deficient number, since it is larger than the sum of its proper divisors (411519500115).

1121111101101 is a wasteful number, since it uses less digits than its factorization.

1121111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1121111101101 its reverse (1011011111211), we get a palindrome (2132122212312).

The spelling of 1121111101101 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred one thousand, one hundred one".