201033321012 has 120 divisors (see below), whose sum is σ = 539043857352. Its totient is φ = 65293516800.

The previous prime is 201033321011. The next prime is 201033321019. The reversal of 201033321012 is 210123330102.

It can be written as a sum of positive squares in 4 ways, for example, as 117809316 + 200915511696 = 10854^2 + 448236^2 .

It is a super-2 number, since 2×201033321012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201033321011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10896948 + ... + 10915380.

Almost surely, 2^201033321012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201033321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269521928676).

201033321012 is an abundant number, since it is smaller than the sum of its proper divisors (338010536340).

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

201033321012 is a wasteful number, since it uses less digits than its factorization.

201033321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19311 (or 19300 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201033321012 its reverse (210123330102), we get a palindrome (411156651114).

The spelling of 201033321012 in words is "two hundred one billion, thirty-three million, three hundred twenty-one thousand, twelve".