211102202111120 has 40 divisors (see below), whose sum is σ = 491428445175864. Its totient is φ = 84334932411392.

The previous prime is 211102202111057. The next prime is 211102202111137. The reversal of 211102202111120 is 21111202201112.

It can be written as a sum of positive squares in 4 ways, for example, as 18237546055936 + 192864656055184 = 4270544^2 + 13887572^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1655380109 + ... + 1655507628.

Almost surely, 2^{211102202111120} is an apocalyptic number.

211102202111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102202111120 is an abundant number, since it is smaller than the sum of its proper divisors (280326243064744).

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

211102202111120 is a wasteful number, since it uses less digits than its factorization.

211102202111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310888547 (or 3310888541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211102202111120 its reverse (21111202201112), we get a palindrome (232213404312232).

The spelling of 211102202111120 in words is "two hundred eleven trillion, one hundred two billion, two hundred two million, one hundred eleven thousand, one hundred twenty".