1020203010000 has 300 divisors, whose sum is σ = 3593508959040. Its totient is φ = 270093600000.

The previous prime is 1020203009981. The next prime is 1020203010023. The reversal of 1020203010000 is 103020201.

It is a happy number.

1020203010000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1020203010000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 12469225 + ... + 12550775.

Almost surely, 2^{1020203010000} is an apocalyptic number.

1020203010000 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 1020203010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796754479520).

1020203010000 is an abundant number, since it is smaller than the sum of its proper divisors (2573305949040).

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

1020203010000 is a wasteful number, since it uses less digits than its factorization.

1020203010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81724 (or 81700 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1020203010000 its reverse (103020201), we get a palindrome (1020306030201).

The spelling of 1020203010000 in words is "one trillion, twenty billion, two hundred three million, ten thousand".