1101121102121 has 16 divisors (see below), whose sum is σ = 1164094901760. Its totient is φ = 1039418265600.

The previous prime is 1101121102097. The next prime is 1101121102153. The reversal of 1101121102121 is 1212011211011.

It is a cyclic number.

It is not a de Polignac number, because 1101121102121 - 2¹⁸ = 1101120839977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101121102096 and 1101121102105.

It is not an unprimeable number, because it can be changed into a prime (1101121102321) 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, 3695921 + ... + 3982721.

It is an arithmetic number, because the mean of its divisors is an integer number (72755931360).

Almost surely, 2^{1101121102121} is an apocalyptic number.

It is an amenable number.

1101121102121 is a deficient number, since it is larger than the sum of its proper divisors (62973799639).

1101121102121 is a wasteful number, since it uses less digits than its factorization.

1101121102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289016.

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

Adding to 1101121102121 its reverse (1212011211011), we get a palindrome (2313132313132).

The spelling of 1101121102121 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".