1001121122121 has 4 divisors (see below), whose sum is σ = 1334828162832. Its totient is φ = 667414081412.

The previous prime is 1001121122101. The next prime is 1001121122137. The reversal of 1001121122121 is 1212211211001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1001121122121 - 2¹⁴ = 1001121105737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001121122121.

It is not an unprimeable number, because it can be changed into a prime (1001121122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166853520351 + ... + 166853520356.

It is an arithmetic number, because the mean of its divisors is an integer number (333707040708).

Almost surely, 2^{1001121122121} is an apocalyptic number.

It is an amenable number.

1001121122121 is a deficient number, since it is larger than the sum of its proper divisors (333707040711).

1001121122121 is an equidigital number, since it uses as much as digits as its factorization.

1001121122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333707040710.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1001121122121 its reverse (1212211211001), we get a palindrome (2213332333122).

The spelling of 1001121122121 in words is "one trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".