1121100321121 has 64 divisors (see below), whose sum is σ = 1380309984000. Its totient is φ = 897354547200.

The previous prime is 1121100321119. The next prime is 1121100321157. The reversal of 1121100321121 is 1211230011211.

It is a happy number.

It is not a de Polignac number, because 1121100321121 - 2¹ = 1121100321119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121100321095 and 1121100321104.

It is not an unprimeable number, because it can be changed into a prime (1121104321121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91579561 + ... + 91591801.

It is an arithmetic number, because the mean of its divisors is an integer number (21567343500).

Almost surely, 2^{1121100321121} is an apocalyptic number.

1121100321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121100321121 is a deficient number, since it is larger than the sum of its proper divisors (259209662879).

1121100321121 is a wasteful number, since it uses less digits than its factorization.

1121100321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1121100321121 its reverse (1211230011211), we get a palindrome (2332330332332).

The spelling of 1121100321121 in words is "one trillion, one hundred twenty-one billion, one hundred million, three hundred twenty-one thousand, one hundred twenty-one".