1031021010009 has 12 divisors (see below), whose sum is σ = 1540606107300. Its totient is φ = 663645707424.

The previous prime is 1031021009999. The next prime is 1031021010017. The reversal of 1031021010009 is 9000101201301.

It can be written as a sum of positive squares in 2 ways, for example, as 319112010000 + 711909000009 = 564900^2 + 843747^2 .

It is not a de Polignac number, because 1031021010009 - 2²⁵ = 1030987455577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1031021009973 and 1031021010000.

It is not an unprimeable number, because it can be changed into a prime (1031021060009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1975135774 + ... + 1975136295.

It is an arithmetic number, because the mean of its divisors is an integer number (128383842275).

Almost surely, 2^{1031021010009} is an apocalyptic number.

It is an amenable number.

1031021010009 is a deficient number, since it is larger than the sum of its proper divisors (509585097291).

1031021010009 is a wasteful number, since it uses less digits than its factorization.

1031021010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950272104 (or 3950272101 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

It can be divided in two parts, 103102 and 1010009, that added together give a palindrome (1113111).

The spelling of 1031021010009 in words is "one trillion, thirty-one billion, twenty-one million, ten thousand, nine".