201001000000 has 392 divisors, whose sum is σ = 535774392000. Its totient is φ = 74592000000.

The previous prime is 201000999973. The next prime is 201001000003. The reversal of 201001000000 is 100102.

201001000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (201001000003) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1348999926 + ... + 1349000074.

Almost surely, 2^201001000000 is an apocalyptic number.

201001000000 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 201001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267887196000).

201001000000 is an abundant number, since it is smaller than the sum of its proper divisors (334773392000).

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

201001000000 is an frugal number, since it uses more digits than its factorization.

201001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 201001000000 its reverse (100102), we get a palindrome (201001100102).

It can be divided in two parts, 20100 and 1000000, that added together give a square (1020100 = 1010²).

The spelling of 201001000000 in words is "two hundred one billion, one million", and thus it is an aban number.