10201221504 has 96 divisors (see below), whose sum is σ = 29658032040. Its totient is φ = 3365314560.

The previous prime is 10201221497. The next prime is 10201221509. The reversal of 10201221504 is 40512210201.

It is a tau number, because it is divible by the number of its divisors (96).

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 (10201221509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66099 + ... + 157389.

Almost surely, 2^10201221504 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 10201221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829016020).

10201221504 is an abundant number, since it is smaller than the sum of its proper divisors (19456810536).

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

10201221504 is an equidigital number, since it uses as much as digits as its factorization.

10201221504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91408 (or 91393 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10201221504 its reverse (40512210201), we get a palindrome (50713431705).

The spelling of 10201221504 in words is "ten billion, two hundred one million, two hundred twenty-one thousand, five hundred four".