212202111200100 has 72 divisors (see below), whose sum is σ = 701681647708608. Its totient is φ = 48503339702400.

The previous prime is 212202111200029. The next prime is 212202111200129. The reversal of 212202111200100 is 1002111202212.

It is a super-3 number, since 3×212202111200100³ (a number of 44 digits) contains 333 as substring.

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 212202111200100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50524310091 + ... + 50524314290.

Almost surely, 2^{212202111200100} is an apocalyptic number.

212202111200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202111200100 is an abundant number, since it is smaller than the sum of its proper divisors (489479536508508).

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

212202111200100 is a wasteful number, since it uses less digits than its factorization.

212202111200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101048624405 (or 101048624398 counting only the distinct ones).

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

Adding to 212202111200100 its reverse (1002111202212), we get a palindrome (213204222402312).

The spelling of 212202111200100 in words is "two hundred twelve trillion, two hundred two billion, one hundred eleven million, two hundred thousand, one hundred".