1020104809872 has 80 divisors (see below), whose sum is σ = 2651513357760. Its totient is φ = 337943692800.

The previous prime is 1020104809837. The next prime is 1020104809907. The reversal of 1020104809872 is 2789084010201.

1020104809872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020104809837) and next prime (1020104809907).

It is a super-2 number, since 2×1020104809872² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7109722 + ... + 7251782.

It is an arithmetic number, because the mean of its divisors is an integer number (33143916972).

Almost surely, 2^{1020104809872} is an apocalyptic number.

1020104809872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020104809872 is an abundant number, since it is smaller than the sum of its proper divisors (1631408547888).

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

1020104809872 is a wasteful number, since it uses less digits than its factorization.

1020104809872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142992 (or 142986 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 1020104809872 in words is "one trillion, twenty billion, one hundred four million, eight hundred nine thousand, eight hundred seventy-two".