10001201022049 has 2 divisors, whose sum is σ = 10001201022050. Its totient is φ = 10001201022048.

The previous prime is 10001201021969. The next prime is 10001201022061. The reversal of 10001201022049 is 94022010210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9828024361024 + 173176661025 = 3134968^2 + 416145^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001201022049 - 2¹³ = 10001201013857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001201022089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000600511024 + 5000600511025.

It is an arithmetic number, because the mean of its divisors is an integer number (5000600511025).

Almost surely, 2^{10001201022049} is an apocalyptic number.

It is an amenable number.

10001201022049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001201022049 is an equidigital number, since it uses as much as digits as its factorization.

10001201022049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10001201022049 in words is "ten trillion, one billion, two hundred one million, twenty-two thousand, forty-nine".