212101210101100 has 36 divisors (see below), whose sum is σ = 460971001061424. Its totient is φ = 84709354982080.

The previous prime is 212101210101007. The next prime is 212101210101173. The reversal of 212101210101100 is 1101012101212.

It is a happy number.

It is a super-3 number, since 3×212101210101100³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639048207 + ... + 1639177606.

It is an arithmetic number, because the mean of its divisors is an integer number (12804750029484).

Almost surely, 2^{212101210101100} is an apocalyptic number.

212101210101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101210101100 is an abundant number, since it is smaller than the sum of its proper divisors (248869790960324).

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

212101210101100 is a wasteful number, since it uses less digits than its factorization.

212101210101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278226474 (or 3278226467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212101210101100 its reverse (1101012101212), we get a palindrome (213202222202312).

The spelling of 212101210101100 in words is "two hundred twelve trillion, one hundred one billion, two hundred ten million, one hundred one thousand, one hundred".