212410100 has 108 divisors (see below), whose sum is σ = 545027616. Its totient is φ = 71628480.

The previous prime is 212410091. The next prime is 212410103. The reversal of 212410100 is 1014212.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212410103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 327977 + ... + 328623.

It is an arithmetic number, because the mean of its divisors is an integer number (5046552).

Almost surely, 2^212410100 is an apocalyptic number.

212410100 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 212410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272513808).

212410100 is an abundant number, since it is smaller than the sum of its proper divisors (332617516).

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

212410100 is a wasteful number, since it uses less digits than its factorization.

212410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 212410100 is about 14574.2958663532. The cubic root of 212410100 is about 596.6574318279.

Adding to 212410100 its reverse (1014212), we get a palindrome (213424312).

The spelling of 212410100 in words is "two hundred twelve million, four hundred ten thousand, one hundred".