10220002330320 has 240 divisors, whose sum is σ = 35755227144000. Its totient is φ = 2613796485120.

The previous prime is 10220002330313. The next prime is 10220002330423. The reversal of 10220002330320 is 2303320002201.

It is a happy number.

10220002330320 is a `hidden beast` number, since 10 + 2 + 2 + 0 + 0 + 0 + 2 + 330 + 320 = 666.

10220002330320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10220002330293 and 10220002330302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192270 + ... + 4675629.

It is an arithmetic number, because the mean of its divisors is an integer number (148980113100).

Almost surely, 2^{10220002330320} is an apocalyptic number.

10220002330320 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 10220002330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877613572000).

10220002330320 is an abundant number, since it is smaller than the sum of its proper divisors (25535224813680).

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

10220002330320 is a wasteful number, since it uses less digits than its factorization.

10220002330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868018 (or 5868009 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10220002330320 its reverse (2303320002201), we get a palindrome (12523322332521).

The spelling of 10220002330320 in words is "ten trillion, two hundred twenty billion, two million, three hundred thirty thousand, three hundred twenty".