10401331121220 has 96 divisors (see below), whose sum is σ = 31488970665600. Its totient is φ = 2550127104000.

The previous prime is 10401331121219. The next prime is 10401331121221. The reversal of 10401331121220 is 2212113310401.

It is an interprime number because it is at equal distance from previous prime (10401331121219) and next prime (10401331121221).

It is not an unprimeable number, because it can be changed into a prime (10401331121221) by changing a digit.

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, 26368045 + ... + 26759604.

It is an arithmetic number, because the mean of its divisors is an integer number (328010111100).

Almost surely, 2^{10401331121220} is an apocalyptic number.

10401331121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401331121220 is an abundant number, since it is smaller than the sum of its proper divisors (21087639544380).

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

10401331121220 is a wasteful number, since it uses less digits than its factorization.

10401331121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53127925 (or 53127923 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10401331121220 its reverse (2212113310401), we get a palindrome (12613444431621).

The spelling of 10401331121220 in words is "ten trillion, four hundred one billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred twenty".