1101101000121 has 16 divisors (see below), whose sum is σ = 1702185121920. Its totient is φ = 702151362000.

The previous prime is 1101101000117. The next prime is 1101101000137. The reversal of 1101101000121 is 1210001011011.

It is not a de Polignac number, because 1101101000121 - 2² = 1101101000117 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 (1101101000101) 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, 886554130 + ... + 886555371.

It is an arithmetic number, because the mean of its divisors is an integer number (106386570120).

Almost surely, 2^{1101101000121} is an apocalyptic number.

It is an amenable number.

1101101000121 is a deficient number, since it is larger than the sum of its proper divisors (601084121799).

1101101000121 is a wasteful number, since it uses less digits than its factorization.

1101101000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773109533 (or 1773109527 counting only the distinct ones).

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

Adding to 1101101000121 its reverse (1210001011011), we get a palindrome (2311102011132).

The spelling of 1101101000121 in words is "one trillion, one hundred one billion, one hundred one million, one hundred twenty-one", and thus it is an aban number.