212002111120100 has 72 divisors (see below), whose sum is σ = 525907456018560. Its totient is φ = 72666776286720.

The previous prime is 212002111120081. The next prime is 212002111120103. The reversal of 212002111120100 is 1021111200212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (212002111120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38372360 + ... + 43548159.

It is an arithmetic number, because the mean of its divisors is an integer number (7304270222480).

Almost surely, 2^{212002111120100} is an apocalyptic number.

212002111120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002111120100 is an abundant number, since it is smaller than the sum of its proper divisors (313905344898460).

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

212002111120100 is a wasteful number, since it uses less digits than its factorization.

212002111120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81924237 (or 81924230 counting only the distinct ones).

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

Adding to 212002111120100 its reverse (1021111200212), we get a palindrome (213023222320312).

The spelling of 212002111120100 in words is "two hundred twelve trillion, two billion, one hundred eleven million, one hundred twenty thousand, one hundred".