201032002000 has 80 divisors (see below), whose sum is σ = 502857435600. Its totient is φ = 77639923200.

The previous prime is 201032001997. The next prime is 201032002009. The reversal of 201032002000 is 200230102.

201032002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 58320318016 + 142711683984 = 241496^2 + 377772^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201032002009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1675035 + ... + 1791034.

It is an arithmetic number, because the mean of its divisors is an integer number (6285717945).

Almost surely, 2^201032002000 is an apocalyptic number.

201032002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201032002000 is an abundant number, since it is smaller than the sum of its proper divisors (301825433600).

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

201032002000 is a wasteful number, since it uses less digits than its factorization.

201032002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466121 (or 3466105 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 201032002000 its reverse (200230102), we get a palindrome (201232232102).

The spelling of 201032002000 in words is "two hundred one billion, thirty-two million, two thousand".