201233001020 has 96 divisors (see below), whose sum is σ = 453978846720. Its totient is φ = 74702234880.

The previous prime is 201233001017. The next prime is 201233001041. The reversal of 201233001020 is 20100332102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201233000986 and 201233001004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4212107 + ... + 4259613.

It is an arithmetic number, because the mean of its divisors is an integer number (4728946320).

Almost surely, 2^201233001020 is an apocalyptic number.

201233001020 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 201233001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226989423360).

201233001020 is an abundant number, since it is smaller than the sum of its proper divisors (252745845700).

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

201233001020 is a wasteful number, since it uses less digits than its factorization.

201233001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47763 (or 47761 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 201233001020 its reverse (20100332102), we get a palindrome (221333333122).

The spelling of 201233001020 in words is "two hundred one billion, two hundred thirty-three million, one thousand, twenty".