212120202001100 has 72 divisors (see below), whose sum is σ = 460461350462400. Its totient is φ = 84818497899520.

The previous prime is 212120202001093. The next prime is 212120202001111. The reversal of 212120202001100 is 1100202021212.

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, 5266514162 + ... + 5266554438.

It is an arithmetic number, because the mean of its divisors is an integer number (6395296534200).

Almost surely, 2^{212120202001100} is an apocalyptic number.

212120202001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120202001100 is an abundant number, since it is smaller than the sum of its proper divisors (248341148461300).

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

212120202001100 is a wasteful number, since it uses less digits than its factorization.

212120202001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57347 (or 57340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212120202001100 its reverse (1100202021212), we get a palindrome (213220404022312).

The spelling of 212120202001100 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred two million, one thousand, one hundred".