1100101011121 has 16 divisors (see below), whose sum is σ = 1298132684800. Its totient is φ = 912302825040.

The previous prime is 1100101011109. The next prime is 1100101011133. The reversal of 1100101011121 is 1211101010011.

It is an interprime number because it is at equal distance from previous prime (1100101011109) and next prime (1100101011133).

It is a cyclic number.

It is not a de Polignac number, because 1100101011121 - 2⁷ = 1100101010993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100101011098 and 1100101011107.

It is not an unprimeable number, because it can be changed into a prime (1100101011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271090 + ... + 1507876.

It is an arithmetic number, because the mean of its divisors is an integer number (81133292800).

Almost surely, 2^{1100101011121} is an apocalyptic number.

It is an amenable number.

1100101011121 is a deficient number, since it is larger than the sum of its proper divisors (198031673679).

1100101011121 is a wasteful number, since it uses less digits than its factorization.

1100101011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240924.

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

Adding to 1100101011121 its reverse (1211101010011), we get a palindrome (2311202021132).

The spelling of 1100101011121 in words is "one trillion, one hundred billion, one hundred one million, eleven thousand, one hundred twenty-one".