212102322102100 has 108 divisors (see below), whose sum is σ = 477029226980124. Its totient is φ = 81829299368960.

The previous prime is 212102322102023. The next prime is 212102322102127. The reversal of 212102322102100 is 1201223201212.

It can be written as a sum of positive squares in 6 ways, for example, as 3025644555844 + 209076677546256 = 1739438^2 + 14459484^2 .

It is a super-2 number, since 2×212102322102100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12701052 + ... + 24197548.

It is an arithmetic number, because the mean of its divisors is an integer number (4416937286853).

Almost surely, 2^{212102322102100} is an apocalyptic number.

212102322102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102322102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238514613490062).

212102322102100 is an abundant number, since it is smaller than the sum of its proper divisors (264926904878024).

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

212102322102100 is a wasteful number, since it uses less digits than its factorization.

212102322102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11496682 (or 11496616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212102322102100 its reverse (1201223201212), we get a palindrome (213303545303312).

The spelling of 212102322102100 in words is "two hundred twelve trillion, one hundred two billion, three hundred twenty-two million, one hundred two thousand, one hundred".