1000011121001 has 2 divisors, whose sum is σ = 1000011121002. Its totient is φ = 1000011121000.

The previous prime is 1000011120991. The next prime is 1000011121003. The reversal of 1000011121001 is 1001211100001.

It is a happy number.

1000011121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 683227883776 + 316783237225 = 826576^2 + 562835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000011121001 is a prime.

Together with 1000011121003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000011121001.

It is not a weakly prime, because it can be changed into another prime (1000011121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005560500 + 500005560501.

It is an arithmetic number, because the mean of its divisors is an integer number (500005560501).

Almost surely, 2^{1000011121001} is an apocalyptic number.

It is an amenable number.

1000011121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000011121001 is an equidigital number, since it uses as much as digits as its factorization.

1000011121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000011121001 its reverse (1001211100001), we get a palindrome (2001222221002).

The spelling of 1000011121001 in words is "one trillion, eleven million, one hundred twenty-one thousand, one".