1001121110121 has 16 divisors (see below), whose sum is σ = 1463077479168. Its totient is φ = 603864517200.

The previous prime is 1001121110113. The next prime is 1001121110141. The reversal of 1001121110121 is 1210111211001.

It is not a de Polignac number, because 1001121110121 - 2³ = 1001121110113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001121110097 and 1001121110106.

It is not an unprimeable number, because it can be changed into a prime (1001121110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71881671 + ... + 71895596.

It is an arithmetic number, because the mean of its divisors is an integer number (91442342448).

Almost surely, 2^{1001121110121} is an apocalyptic number.

1001121110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001121110121 is a deficient number, since it is larger than the sum of its proper divisors (461956369047).

1001121110121 is a wasteful number, since it uses less digits than its factorization.

1001121110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143777492.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001121110121 its reverse (1210111211001), we get a palindrome (2211232321122).

The spelling of 1001121110121 in words is "one trillion, one billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty-one".