211112200120100 has 18 divisors (see below), whose sum is σ = 458113474260834. Its totient is φ = 84444880048000.

The previous prime is 211112200120051. The next prime is 211112200120139. The reversal of 211112200120100 is 1021002211112.

It can be written as a sum of positive squares in 3 ways, for example, as 17385163880704 + 193727036239396 = 4169552^2 + 13918586^2 .

It is a super-2 number, since 2×211112200120100² (a number of 29 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1055561000501 + ... + 1055561000700.

Almost surely, 2^{211112200120100} is an apocalyptic number.

211112200120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112200120100 is an abundant number, since it is smaller than the sum of its proper divisors (247001274140734).

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

211112200120100 is a wasteful number, since it uses less digits than its factorization.

211112200120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111122001215 (or 2111122001208 counting only the distinct ones).

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

Adding to 211112200120100 its reverse (1021002211112), we get a palindrome (212133202331212).

The spelling of 211112200120100 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred million, one hundred twenty thousand, one hundred".