1101000011121 has 24 divisors (see below), whose sum is σ = 1643096722176. Its totient is φ = 709689863520.

The previous prime is 1101000011117. The next prime is 1101000011131. The reversal of 1101000011121 is 1211100001011.

It is not a de Polignac number, because 1101000011121 - 2² = 1101000011117 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1101000011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443690 + ... + 2070323.

It is an arithmetic number, because the mean of its divisors is an integer number (68462363424).

Almost surely, 2^{1101000011121} is an apocalyptic number.

It is an amenable number.

1101000011121 is a deficient number, since it is larger than the sum of its proper divisors (542096711055).

1101000011121 is a wasteful number, since it uses less digits than its factorization.

1101000011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515173 (or 3515170 counting only the distinct ones).

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

Adding to 1101000011121 its reverse (1211100001011), we get a palindrome (2312100012132).

The spelling of 1101000011121 in words is "one trillion, one hundred one billion, eleven thousand, one hundred twenty-one".