10220120224314 has 256 divisors, whose sum is σ = 28287899910144. Its totient is φ = 2375530675200.

The previous prime is 10220120224309. The next prime is 10220120224423. The reversal of 10220120224314 is 41342202102201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61472479 + ... + 61638509.

It is an arithmetic number, because the mean of its divisors is an integer number (110499609024).

Almost surely, 2^{10220120224314} is an apocalyptic number.

10220120224314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220120224314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143949955072).

10220120224314 is an abundant number, since it is smaller than the sum of its proper divisors (18067779685830).

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

10220120224314 is a wasteful number, since it uses less digits than its factorization.

10220120224314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166381.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10220120224314 its reverse (41342202102201), we get a palindrome (51562322326515).

The spelling of 10220120224314 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, two hundred twenty-four thousand, three hundred fourteen".