10401201220 has 96 divisors (see below), whose sum is σ = 23590103040. Its totient is φ = 3840967680.

The previous prime is 10401201169. The next prime is 10401201221. The reversal of 10401201220 is 2210210401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10401201220.

It is not an unprimeable number, because it can be changed into a prime (10401201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7257624 + ... + 7259056.

It is an arithmetic number, because the mean of its divisors is an integer number (245730240).

Almost surely, 2^10401201220 is an apocalyptic number.

10401201220 is a gapful number since it is divisible by the number (10) 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 10401201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795051520).

10401201220 is an abundant number, since it is smaller than the sum of its proper divisors (13188901820).

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

10401201220 is a wasteful number, since it uses less digits than its factorization.

10401201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10401201220 its reverse (2210210401), we get a palindrome (12611411621).

The spelling of 10401201220 in words is "ten billion, four hundred one million, two hundred one thousand, two hundred twenty".