2111112220100 has 72 divisors (see below), whose sum is σ = 4934289159240. Its totient is φ = 779363988480.

The previous prime is 2111112220099. The next prime is 2111112220153. The reversal of 2111112220100 is 10222111112.

It can be written as a sum of positive squares in 12 ways, for example, as 1960470428224 + 150641791876 = 1400168^2 + 388126^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8284184 + ... + 8535216.

Almost surely, 2^{2111112220100} is an apocalyptic number.

2111112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111112220100 is an abundant number, since it is smaller than the sum of its proper divisors (2823176939140).

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

2111112220100 is a wasteful number, since it uses less digits than its factorization.

2111112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257529 (or 257522 counting only the distinct ones).

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

Adding to 2111112220100 its reverse (10222111112), we get a palindrome (2121334331212).

It can be divided in two parts, 2111 and 112220100, that added together give a palindrome (112222211).

The spelling of 2111112220100 in words is "two trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty thousand, one hundred".