10000001001049 has 2 divisors, whose sum is σ = 10000001001050. Its totient is φ = 10000001001048.

The previous prime is 10000001001007. The next prime is 10000001001139. The reversal of 10000001001049 is 94010010000001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9979078825024 + 20922176025 = 3158968^2 + 144645^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001001049 - 2¹⁹ = 10000000476761 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000001001149) 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 as a sum of consecutive naturals, namely, 5000000500524 + 5000000500525.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000500525).

Almost surely, 2^{10000001001049} is an apocalyptic number.

It is an amenable number.

10000001001049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001001049 is an equidigital number, since it uses as much as digits as its factorization.

10000001001049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10000001001049 in words is "ten trillion, one million, one thousand, forty-nine".