10220113110114 has 128 divisors (see below), whose sum is σ = 25193116108800. Its totient is φ = 3056516337600.

The previous prime is 10220113110101. The next prime is 10220113110161. The reversal of 10220113110114 is 41101131102201.

10220113110114 is a `hidden beast` number, since 10 + 220 + 11 + 311 + 0 + 114 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 239377 + ... + 4527419.

It is an arithmetic number, because the mean of its divisors is an integer number (196821219600).

Almost surely, 2^{10220113110114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220113110114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596558054400).

10220113110114 is an abundant number, since it is smaller than the sum of its proper divisors (14973002998686).

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

10220113110114 is a wasteful number, since it uses less digits than its factorization.

10220113110114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288197 (or 4288191 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10220113110114 its reverse (41101131102201), we get a palindrome (51321244212315).

The spelling of 10220113110114 in words is "ten trillion, two hundred twenty billion, one hundred thirteen million, one hundred ten thousand, one hundred fourteen".