212102120202100 has 36 divisors (see below), whose sum is σ = 464818646413548. Its totient is φ = 84000839680000.

The previous prime is 212102120202047. The next prime is 212102120202107. The reversal of 212102120202100 is 1202021201212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10614485808144 + 201487634393956 = 3257988^2 + 14194634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102120202107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10500094861 + ... + 10500115060.

It is an arithmetic number, because the mean of its divisors is an integer number (12911629067043).

Almost surely, 2^{212102120202100} is an apocalyptic number.

212102120202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102120202100 is an abundant number, since it is smaller than the sum of its proper divisors (252716526211448).

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

212102120202100 is a wasteful number, since it uses less digits than its factorization.

212102120202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21000210036 (or 21000210029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212102120202100 its reverse (1202021201212), we get a palindrome (213304141403312).

The spelling of 212102120202100 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty million, two hundred two thousand, one hundred".