1020201200000 has 384 divisors, whose sum is σ = 2689998141600. Its totient is φ = 384307200000.

The previous prime is 1020201199993. The next prime is 1020201200041. The reversal of 1020201200000 is 21020201.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1831599722 + ... + 1831600278.

Almost surely, 2^{1020201200000} is an apocalyptic number.

1020201200000 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 1020201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344999070800).

1020201200000 is an abundant number, since it is smaller than the sum of its proper divisors (1669796941600).

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

1020201200000 is an frugal number, since it uses more digits than its factorization.

1020201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 824 counting only the distinct ones).

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

Adding to 1020201200000 its reverse (21020201), we get a palindrome (1020222220201).

The spelling of 1020201200000 in words is "one trillion, twenty billion, two hundred one million, two hundred thousand".