222112111000100 has 18 divisors (see below), whose sum is σ = 481983280870434. Its totient is φ = 88844844400000.

The previous prime is 222112111000033. The next prime is 222112111000103. The reversal of 222112111000100 is 1000111211222.

It can be written as a sum of positive squares in 3 ways, for example, as 32277669646336 + 189834441353764 = 5681344^2 + 13778042^2 .

It is not an unprimeable number, because it can be changed into a prime (222112111000103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1110560554901 + ... + 1110560555100.

Almost surely, 2^{222112111000100} is an apocalyptic number.

222112111000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112111000100 is an abundant number, since it is smaller than the sum of its proper divisors (259871169870334).

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

222112111000100 is a wasteful number, since it uses less digits than its factorization.

222112111000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221121110015 (or 2221121110008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 222112111000100 its reverse (1000111211222), we get a palindrome (223112222211322).

The spelling of 222112111000100 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, one hundred", and thus it is an aban number.