201002012000 has 96 divisors (see below), whose sum is σ = 494002533024. Its totient is φ = 80377920000.

The previous prime is 201002011979. The next prime is 201002012009. The reversal of 201002012000 is 210200102.

201002012000 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 (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002012009) 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 15 ways as a sum of consecutive naturals, for example, 24807950 + ... + 24816050.

It is an arithmetic number, because the mean of its divisors is an integer number (5145859719).

Almost surely, 2^201002012000 is an apocalyptic number.

201002012000 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 201002012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247001266512).

201002012000 is an abundant number, since it is smaller than the sum of its proper divisors (293000521024).

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

201002012000 is an equidigital number, since it uses as much as digits as its factorization.

201002012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14329 (or 14311 counting only the distinct ones).

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

Adding to 201002012000 its reverse (210200102), we get a palindrome (201212212102).

The spelling of 201002012000 in words is "two hundred one billion, two million, twelve thousand".