1020012020000 has 120 divisors (see below), whose sum is σ = 2546839388016. Its totient is φ = 401914656000.

The previous prime is 1020012019993. The next prime is 1020012020017. The reversal of 1020012020000 is 202100201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1020012020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959399 + ... + 1720601.

Almost surely, 2^{1020012020000} is an apocalyptic number.

1020012020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273419694008).

1020012020000 is an abundant number, since it is smaller than the sum of its proper divisors (1526827368016).

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

1020012020000 is an frugal number, since it uses more digits than its factorization.

1020012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761300 (or 761277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1020012020000 its reverse (202100201), we get a palindrome (1020214120201).

The spelling of 1020012020000 in words is "one trillion, twenty billion, twelve million, twenty thousand".