10114433331220 has 96 divisors (see below), whose sum is σ = 22785177139200. Its totient is φ = 3759677835264.

The previous prime is 10114433331199. The next prime is 10114433331257. The reversal of 10114433331220 is 2213333441101.

It is a super-2 number, since 2×10114433331220² (a number of 27 digits) contains 22 as substring.

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, 93738061 + ... + 93845899.

It is an arithmetic number, because the mean of its divisors is an integer number (237345595200).

Almost surely, 2^{10114433331220} is an apocalyptic number.

10114433331220 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 10114433331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392588569600).

10114433331220 is an abundant number, since it is smaller than the sum of its proper divisors (12670743807980).

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

10114433331220 is a wasteful number, since it uses less digits than its factorization.

10114433331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112577 (or 112575 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 10114433331220 its reverse (2213333441101), we get a palindrome (12327766772321).

The spelling of 10114433331220 in words is "ten trillion, one hundred fourteen billion, four hundred thirty-three million, three hundred thirty-one thousand, two hundred twenty".