1211001001121 has 8 divisors (see below), whose sum is σ = 1212098580000. Its totient is φ = 1209903554848.

The previous prime is 1211001001117. The next prime is 1211001001201.

1211001001121 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 1211001001121 - 2² = 1211001001117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1211001001621) 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 7 ways as a sum of consecutive naturals, for example, 31138130 + ... + 31176996.

It is an arithmetic number, because the mean of its divisors is an integer number (151512322500).

Almost surely, 2^{1211001001121} is an apocalyptic number.

It is an amenable number.

1211001001121 is a deficient number, since it is larger than the sum of its proper divisors (1097578879).

1211001001121 is a wasteful number, since it uses less digits than its factorization.

1211001001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66303.

The product of its (nonzero) digits is 4, while the sum is 11.

Multiplying 1211001001121 by its sum of digits (11), we get a palindrome (13321011012331).

The spelling of 1211001001121 in words is "one trillion, two hundred eleven billion, one million, one thousand, one hundred twenty-one".