1020202010000 has 300 divisors, whose sum is σ = 2547341867796. Its totient is φ = 395596800000.

The previous prime is 1020202009999. The next prime is 1020202010057. The reversal of 1020202010000 is 102020201.

Added to its reverse (102020201) it gives a square (1020304030201 = 1010101²).

It can be written as a sum of positive squares in 30 ways, for example, as 879753954304 + 140448055696 = 937952^2 + 374764^2 .

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 1020202010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7446729932 + ... + 7446730068.

Almost surely, 2^{1020202010000} is an apocalyptic number.

1020202010000 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 1020202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273670933898).

1020202010000 is an abundant number, since it is smaller than the sum of its proper divisors (1527139857796).

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

1020202010000 is an equidigital number, since it uses as much as digits as its factorization.

1020202010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 318 counting only the distinct ones).

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

Adding to 1020202010000 its reverse (102020201), we get a palindrome (1020304030201).

1020202010000 divided by its reverse (102020201) gives a 4-th power (10000 = 10⁴).

The spelling of 1020202010000 in words is "one trillion, twenty billion, two hundred two million, ten thousand".