10310101221120 has 288 divisors, whose sum is σ = 33936126470400. Its totient is φ = 2666096197632.

The previous prime is 10310101221041. The next prime is 10310101221139. The reversal of 10310101221120 is 2112210101301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10310101221120.

It is a congruent number.

It is an unprimeable number.

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, 22727076 + ... + 23176284.

Almost surely, 2^{10310101221120} is an apocalyptic number.

10310101221120 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 10310101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968063235200).

10310101221120 is an abundant number, since it is smaller than the sum of its proper divisors (23626025249280).

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

10310101221120 is a wasteful number, since it uses less digits than its factorization.

10310101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449415 (or 449401 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10310101221120 its reverse (2112210101301), we get a palindrome (12422311322421).

The spelling of 10310101221120 in words is "ten trillion, three hundred ten billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".