1031002020112 has 80 divisors (see below), whose sum is σ = 2064207726000. Its totient is φ = 498587222016.

The previous prime is 1031002020109. The next prime is 1031002020143. The reversal of 1031002020112 is 2110202001301.

It can be written as a sum of positive squares in 8 ways, for example, as 156432906256 + 874569113856 = 395516^2 + 935184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1031002020092 and 1031002020101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179333014 + ... + 179338762.

It is an arithmetic number, because the mean of its divisors is an integer number (25802596575).

Almost surely, 2^{1031002020112} is an apocalyptic number.

It is an amenable number.

1031002020112 is an abundant number, since it is smaller than the sum of its proper divisors (1033205705888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031002020112 is a wasteful number, since it uses less digits than its factorization.

1031002020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1031002020112 its reverse (2110202001301), we get a palindrome (3141204021413).

It can be divided in two parts, 103100 and 2020112, that added together give a palindrome (2123212).

The spelling of 1031002020112 in words is "one trillion, thirty-one billion, two million, twenty thousand, one hundred twelve".