212010301102100 has 72 divisors (see below), whose sum is σ = 464846459511000. Its totient is φ = 83923085376000.

The previous prime is 212010301102081. The next prime is 212010301102133. The reversal of 212010301102100 is 1201103010212.

It can be written as a sum of positive squares in 12 ways, for example, as 9924629514244 + 202085671587856 = 3150338^2 + 14215684^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15320126 + ... + 25665674.

Almost surely, 2^{212010301102100} is an apocalyptic number.

212010301102100 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 212010301102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232423229755500).

212010301102100 is an abundant number, since it is smaller than the sum of its proper divisors (252836158408900).

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

212010301102100 is a wasteful number, since it uses less digits than its factorization.

212010301102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347693 (or 10347686 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212010301102100 its reverse (1201103010212), we get a palindrome (213211404112312).

The spelling of 212010301102100 in words is "two hundred twelve trillion, ten billion, three hundred one million, one hundred two thousand, one hundred".