1121101121101 has 16 divisors (see below), whose sum is σ = 1208489184000. Its totient is φ = 1033877737728.

The previous prime is 1121101121089. The next prime is 1121101121113. The reversal of 1121101121101 is 1011211011211.

It is an interprime number because it is at equal distance from previous prime (1121101121089) and next prime (1121101121113).

It is a cyclic number.

It is not a de Polignac number, because 1121101121101 - 2⁷ = 1121101120973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121101121131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81238200 + ... + 81251998.

It is an arithmetic number, because the mean of its divisors is an integer number (75530574000).

Almost surely, 2^{1121101121101} is an apocalyptic number.

It is an amenable number.

1121101121101 is a deficient number, since it is larger than the sum of its proper divisors (87388062899).

1121101121101 is a wasteful number, since it uses less digits than its factorization.

1121101121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19308.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1121101121101 its reverse (1011211011211), we get a palindrome (2132312132312).

The spelling of 1121101121101 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred one".