212102222122100 has 72 divisors (see below), whose sum is σ = 487339373205720. Its totient is φ = 79849703301120.

The previous prime is 212102222122069. The next prime is 212102222122129. The reversal of 212102222122100 is 1221222201212.

212102222122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 48827084819044 + 163275137303056 = 6987638^2 + 12777916^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 319297106 + ... + 319960694.

It is an arithmetic number, because the mean of its divisors is an integer number (6768602405635).

Almost surely, 2^{212102222122100} is an apocalyptic number.

212102222122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102222122100 is an abundant number, since it is smaller than the sum of its proper divisors (275237151083620).

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

212102222122100 is a wasteful number, since it uses less digits than its factorization.

212102222122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851637 (or 851630 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212102222122100 its reverse (1221222201212), we get a palindrome (213323444323312).

The spelling of 212102222122100 in words is "two hundred twelve trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".