1001112121 has 4 divisors (see below), whose sum is σ = 1003634212. Its totient is φ = 998590032.

The previous prime is 1001112107. The next prime is 1001112127. The reversal of 1001112121 is 1212111001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1212111001 = 83 ⋅14603747.

It can be written as a sum of positive squares in 2 ways, for example, as 686440000 + 314672121 = 26200^2 + 17739^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001112121 - 2¹⁷ = 1000981049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001112098 and 1001112107.

It is not an unprimeable number, because it can be changed into a prime (1001112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1260450 + ... + 1261243.

It is an arithmetic number, because the mean of its divisors is an integer number (250908553).

Almost surely, 2^1001112121 is an apocalyptic number.

It is an amenable number.

1001112121 is a deficient number, since it is larger than the sum of its proper divisors (2522091).

1001112121 is an equidigital number, since it uses as much as digits as its factorization.

1001112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522090.

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

The square root of 1001112121 is about 31640.3558924358. The cubic root of 1001112121 is about 1000.3705696612.

Adding to 1001112121 its reverse (1212111001), we get a palindrome (2213223122).

The spelling of 1001112121 in words is "one billion, one million, one hundred twelve thousand, one hundred twenty-one".