2102222111100 has 72 divisors (see below), whose sum is σ = 6082596157680. Its totient is φ = 560577185280.

The previous prime is 2102222111089. The next prime is 2102222111123. The reversal of 2102222111100 is 11112222012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102222111100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14595034 + ... + 14738366.

It is an arithmetic number, because the mean of its divisors is an integer number (84480502190).

Almost surely, 2^{2102222111100} is an apocalyptic number.

2102222111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102222111100 is an abundant number, since it is smaller than the sum of its proper divisors (3980374046580).

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

2102222111100 is a wasteful number, since it uses less digits than its factorization.

2102222111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192239 (or 192232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2102222111100 its reverse (11112222012), we get a palindrome (2113334333112).

The spelling of 2102222111100 in words is "two trillion, one hundred two billion, two hundred twenty-two million, one hundred eleven thousand, one hundred".