1010909820321 has 24 divisors (see below), whose sum is σ = 1505345370984. Its totient is φ = 653314371840.

The previous prime is 1010909820269. The next prime is 1010909820337. The reversal of 1010909820321 is 1230289090101.

It can be written as a sum of positive squares in 4 ways, for example, as 21205184400 + 989704635921 = 145620^2 + 994839^2 .

It is not a de Polignac number, because 1010909820321 - 2⁹ = 1010909819809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010909820391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8666886 + ... + 8782751.

It is an arithmetic number, because the mean of its divisors is an integer number (62722723791).

Almost surely, 2^{1010909820321} is an apocalyptic number.

It is an amenable number.

1010909820321 is a deficient number, since it is larger than the sum of its proper divisors (494435550663).

1010909820321 is a wasteful number, since it uses less digits than its factorization.

1010909820321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17449841 (or 17449838 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1010909820321 in words is "one trillion, ten billion, nine hundred nine million, eight hundred twenty thousand, three hundred twenty-one".