82102222220128 has 24 divisors (see below), whose sum is σ = 176333181814440. Its totient is φ = 37319191918080.

The previous prime is 82102222220119. The next prime is 82102222220147.

82102222220128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82102222220093 and 82102222220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116622474393 + ... + 116622475096.

It is an arithmetic number, because the mean of its divisors is an integer number (7347215908935).

Almost surely, 2^{82102222220128} is an apocalyptic number.

82102222220128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82102222220128 is an abundant number, since it is smaller than the sum of its proper divisors (94230959594312).

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

82102222220128 is a wasteful number, since it uses less digits than its factorization.

82102222220128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233244949510 (or 233244949502 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The spelling of 82102222220128 in words is "eighty-two trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty-eight".