1001121947857 has 2 divisors, whose sum is σ = 1001121947858. Its totient is φ = 1001121947856.

The previous prime is 1001121947753. The next prime is 1001121947887. The reversal of 1001121947857 is 7587491211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 899341168896 + 101780778961 = 948336^2 + 319031^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001121947857 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001121947887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560973928 + 500560973929.

It is an arithmetic number, because the mean of its divisors is an integer number (500560973929).

Almost surely, 2^{1001121947857} is an apocalyptic number.

It is an amenable number.

1001121947857 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121947857 is an equidigital number, since it uses as much as digits as its factorization.

1001121947857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 46.

The spelling of 1001121947857 in words is "one trillion, one billion, one hundred twenty-one million, nine hundred forty-seven thousand, eight hundred fifty-seven".