10000201032 has 80 divisors (see below), whose sum is σ = 28298761260. Its totient is φ = 3299014656.

The previous prime is 10000201031. The next prime is 10000201033. The reversal of 10000201032 is 23010200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000201031) and next prime (10000201033).

It can be written as a sum of positive squares in 2 ways, for example, as 8784563076 + 1215637956 = 93726^2 + 34866^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000201031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16693 + ... + 142404.

Almost surely, 2^10000201032 is an apocalyptic number.

10000201032 is a gapful number since it is divisible by the number (12) 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 10000201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149380630).

10000201032 is an abundant number, since it is smaller than the sum of its proper divisors (18298560228).

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

10000201032 is a wasteful number, since it uses less digits than its factorization.

10000201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159212 (or 159199 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10000201032 its reverse (23010200001), we get a palindrome (33010401033).

The spelling of 10000201032 in words is "ten billion, two hundred one thousand, thirty-two".