82200111100228 has 24 divisors (see below), whose sum is σ = 156928690525824. Its totient is φ = 37363399792800.

The previous prime is 82200111100189. The next prime is 82200111100243.

82200111100228 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82200111100196 and 82200111100205.

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 7 ways as a sum of consecutive naturals, for example, 1331388 + ... + 12890803.

It is an arithmetic number, because the mean of its divisors is an integer number (6538695438576).

Almost surely, 2^{82200111100228} is an apocalyptic number.

It is an amenable number.

82200111100228 is a deficient number, since it is larger than the sum of its proper divisors (74728579425596).

82200111100228 is a wasteful number, since it uses less digits than its factorization.

82200111100228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14353563 (or 14353561 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

It can be divided in two parts, 8220011 and 1100228, that added together give a palindrome (9320239).

The spelling of 82200111100228 in words is "eighty-two trillion, two hundred billion, one hundred eleven million, one hundred thousand, two hundred twenty-eight".