1010105520201 has 10 divisors (see below), whose sum is σ = 1508923061162. Its totient is φ = 673403680080.

The previous prime is 1010105520169. The next prime is 1010105520239. The reversal of 1010105520201 is 1020255010101.

1010105520201 is a `hidden beast` number, since 10 + 10 + 105 + 520 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 651515337225 + 358590182976 = 807165^2 + 598824^2 .

It is not a de Polignac number, because 1010105520201 - 2⁵ = 1010105520169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010105520101) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6235219180 + ... + 6235219341.

Almost surely, 2^{1010105520201} is an apocalyptic number.

It is an amenable number.

1010105520201 is a deficient number, since it is larger than the sum of its proper divisors (498817540961).

1010105520201 is an equidigital number, since it uses as much as digits as its factorization.

1010105520201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470438533 (or 12470438524 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 1010105520201 in words is "one trillion, ten billion, one hundred five million, five hundred twenty thousand, two hundred one".