1001121022121 has 4 divisors (see below), whose sum is σ = 1092132024144. Its totient is φ = 910110020100.

The previous prime is 1001121022049. The next prime is 1001121022133. The reversal of 1001121022121 is 1212201211001.

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 1001121022121 - 2¹⁴ = 1001121005737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001121022096 and 1001121022105.

It is not an unprimeable number, because it can be changed into a prime (1001121022141) 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, 45505500995 + ... + 45505501016.

It is an arithmetic number, because the mean of its divisors is an integer number (273033006036).

Almost surely, 2^{1001121022121} is an apocalyptic number.

1001121022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001121022121 is a deficient number, since it is larger than the sum of its proper divisors (91011002023).

1001121022121 is an equidigital number, since it uses as much as digits as its factorization.

1001121022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91011002022.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001121022121 its reverse (1212201211001), we get a palindrome (2213322233122).

The spelling of 1001121022121 in words is "one trillion, one billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty-one".