10001123310220 has 192 divisors, whose sum is σ = 24556641177600. Its totient is φ = 3350582864640.

The previous prime is 10001123310181. The next prime is 10001123310223. The reversal of 10001123310220 is 2201332110001.

It is a junction number, because it is equal to n+sod(n) for n = 10001123310194 and 10001123310203.

It is not an unprimeable number, because it can be changed into a prime (10001123310223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 979440915 + ... + 979451125.

It is an arithmetic number, because the mean of its divisors is an integer number (127899172800).

Almost surely, 2^{10001123310220} is an apocalyptic number.

10001123310220 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 10001123310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278320588800).

10001123310220 is an abundant number, since it is smaller than the sum of its proper divisors (14555517867380).

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

10001123310220 is a wasteful number, since it uses less digits than its factorization.

10001123310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10001123310220 its reverse (2201332110001), we get a palindrome (12202455420221).

The spelling of 10001123310220 in words is "ten trillion, one billion, one hundred twenty-three million, three hundred ten thousand, two hundred twenty".