201002000000 has 112 divisors (see below), whose sum is σ = 500540663310. Its totient is φ = 80400000000.

The previous prime is 201001999997. The next prime is 201002000009. The reversal of 201002000000 is 200102.

It can be written as a sum of positive squares in 7 ways, for example, as 143543992384 + 57458007616 = 378872^2 + 239704^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (201002000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1949750 + ... + 2050250.

Almost surely, 2^201002000000 is an apocalyptic number.

201002000000 is a gapful number since it is divisible by the number (20) 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 201002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250270331655).

201002000000 is an abundant number, since it is smaller than the sum of its proper divisors (299538663310).

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

201002000000 is an frugal number, since it uses more digits than its factorization.

201002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100545 (or 100508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 201002000000 its reverse (200102), we get a palindrome (201002200102).

The spelling of 201002000000 in words is "two hundred one billion, two million", and thus it is an aban number.