1001077434121 has 2 divisors, whose sum is σ = 1001077434122. Its totient is φ = 1001077434120.

The previous prime is 1001077434101. The next prime is 1001077434179. The reversal of 1001077434121 is 1214347701001.

1001077434121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 802753281225 + 198324152896 = 895965^2 + 445336^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001077434121 - 2²¹ = 1001075336969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001077434101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500538717060 + 500538717061.

It is an arithmetic number, because the mean of its divisors is an integer number (500538717061).

Almost surely, 2^{1001077434121} is an apocalyptic number.

It is an amenable number.

1001077434121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001077434121 is an equidigital number, since it uses as much as digits as its factorization.

1001077434121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 1001077434121 in words is "one trillion, one billion, seventy-seven million, four hundred thirty-four thousand, one hundred twenty-one".