1001011011121 has 8 divisors (see below), whose sum is σ = 1149486328800. Its totient is φ = 862114746240.

The previous prime is 1001011011037. The next prime is 1001011011127. The reversal of 1001011011121 is 1211101101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001011011121 - 2²⁷ = 1000876793393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001011011098 and 1001011011107.

It is not an unprimeable number, because it can be changed into a prime (1001011011127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2394762976 + ... + 2394763393.

It is an arithmetic number, because the mean of its divisors is an integer number (143685791100).

Almost surely, 2^{1001011011121} is an apocalyptic number.

1001011011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001011011121 is a deficient number, since it is larger than the sum of its proper divisors (148475317679).

1001011011121 is a wasteful number, since it uses less digits than its factorization.

1001011011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789526399.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001011011121 its reverse (1211101101001), we get a palindrome (2212112112122).

The spelling of 1001011011121 in words is "one trillion, one billion, eleven million, eleven thousand, one hundred twenty-one".