1101121212101 has 16 divisors (see below), whose sum is σ = 1148930784000. Its totient is φ = 1053994955328.

The previous prime is 1101121212067. The next prime is 1101121212161. The reversal of 1101121212101 is 1012121211011.

It is not a de Polignac number, because 1101121212101 - 2³⁴ = 1083941342917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101121212161) 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 15 ways as a sum of consecutive naturals, for example, 2016260 + ... + 2503506.

It is an arithmetic number, because the mean of its divisors is an integer number (71808174000).

Almost surely, 2^{1101121212101} is an apocalyptic number.

It is an amenable number.

1101121212101 is a deficient number, since it is larger than the sum of its proper divisors (47809571899).

1101121212101 is a wasteful number, since it uses less digits than its factorization.

1101121212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487948.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1101121212101 its reverse (1012121211011), we get a palindrome (2113242423112).

The spelling of 1101121212101 in words is "one trillion, one hundred one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".