212570100 has 216 divisors, whose sum is σ = 725786880. Its totient is φ = 51840000.

The previous prime is 212570053. The next prime is 212570101. The reversal of 212570100 is 1075212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212570101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529900 + ... + 530300.

Almost surely, 2^212570100 is an apocalyptic number.

212570100 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 212570100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362893440).

212570100 is an abundant number, since it is smaller than the sum of its proper divisors (513216780).

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

212570100 is a wasteful number, since it uses less digits than its factorization.

212570100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 212570100 is about 14579.7839490165. The cubic root of 212570100 is about 596.8072069235.

The spelling of 212570100 in words is "two hundred twelve million, five hundred seventy thousand, one hundred".