1000120011121 has 32 divisors (see below), whose sum is σ = 1252852623360. Its totient is φ = 775601049600.

The previous prime is 1000120011091. The next prime is 1000120011151. The reversal of 1000120011121 is 1211100210001.

It is an interprime number because it is at equal distance from previous prime (1000120011091) and next prime (1000120011151).

It is a cyclic number.

It is not a de Polignac number, because 1000120011121 - 2¹⁷ = 1000119880049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000120011098 and 1000120011107.

It is not an unprimeable number, because it can be changed into a prime (1000120011151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23151340 + ... + 23194498.

It is an arithmetic number, because the mean of its divisors is an integer number (39151644480).

Almost surely, 2^{1000120011121} is an apocalyptic number.

1000120011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000120011121 is a deficient number, since it is larger than the sum of its proper divisors (252732612239).

1000120011121 is a wasteful number, since it uses less digits than its factorization.

1000120011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44605.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000120011121 its reverse (1211100210001), we get a palindrome (2211220221122).

The spelling of 1000120011121 in words is "one trillion, one hundred twenty million, eleven thousand, one hundred twenty-one".