1000201020000 has 960 divisors, whose sum is σ = 4147953030144. Its totient is φ = 205286400000.

The previous prime is 1000201019971. The next prime is 1000201020061. The reversal of 1000201020000 is 201020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 202017525 + ... + 202022475.

Almost surely, 2^{1000201020000} is an apocalyptic number.

1000201020000 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 1000201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073976515072).

1000201020000 is an abundant number, since it is smaller than the sum of its proper divisors (3147752010144).

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

1000201020000 is a wasteful number, since it uses less digits than its factorization.

1000201020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1000201020000 its reverse (201020001), we get a palindrome (1000402040001).

Subtracting from 1000201020000 its reverse (201020001), we obtain a palindrome (999999999999).

The spelling of 1000201020000 in words is "one trillion, two hundred one million, twenty thousand".