1001121103121 has 8 divisors (see below), whose sum is σ = 1060902095400. Its totient is φ = 943024082560.

The previous prime is 1001121103093. The next prime is 1001121103153. The reversal of 1001121103121 is 1213011211001.

It can be written as a sum of positive squares in 4 ways, for example, as 162634758400 + 838486344721 = 403280^2 + 915689^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001121103121 is a prime.

It is a super-2 number, since 2×1001121103121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001121103096 and 1001121103105.

It is not an unprimeable number, because it can be changed into a prime (1001121103321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420991706 + ... + 420994083.

It is an arithmetic number, because the mean of its divisors is an integer number (132612761925).

Almost surely, 2^{1001121103121} is an apocalyptic number.

It is an amenable number.

1001121103121 is a deficient number, since it is larger than the sum of its proper divisors (59780992279).

1001121103121 is an equidigital number, since it uses as much as digits as its factorization.

1001121103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841985859.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1001121103121 its reverse (1213011211001), we get a palindrome (2214132314122).

The spelling of 1001121103121 in words is "one trillion, one billion, one hundred twenty-one million, one hundred three thousand, one hundred twenty-one".