1020102020000 has 480 divisors, whose sum is σ = 3049767262080. Its totient is φ = 327974400000.

The previous prime is 1020102019973. The next prime is 1020102020011. The reversal of 1020102020000 is 202010201.

Added to its reverse (202010201) it gives a square (1020304030201 = 1010101²).

It is a Cunningham number, because it is equal to 1010001²-1.

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 1020102020000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 268658102 + ... + 268661898.

It is an arithmetic number, because the mean of its divisors is an integer number (6353681796).

Almost surely, 2^{1020102020000} is an apocalyptic number.

1020102020000 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 1020102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524883631040).

1020102020000 is an abundant number, since it is smaller than the sum of its proper divisors (2029665242080).

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

1020102020000 is a wasteful number, since it uses less digits than its factorization.

1020102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3931 counting only the distinct ones).

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

Adding to 1020102020000 its reverse (202010201), we get a palindrome (1020304030201).

The spelling of 1020102020000 in words is "one trillion, twenty billion, one hundred two million, twenty thousand".