212025100 has 72 divisors (see below), whose sum is σ = 527744000. Its totient is φ = 72429120.

The previous prime is 212025091. The next prime is 212025127. The reversal of 212025100 is 1520212.

212025100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348997 + ... + 349603.

Almost surely, 2^212025100 is an apocalyptic number.

212025100 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 212025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263872000).

212025100 is an abundant number, since it is smaller than the sum of its proper divisors (315718900).

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

212025100 is a wasteful number, since it uses less digits than its factorization.

212025100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 212025100 is about 14561.0816905888. The cubic root of 212025100 is about 596.2967270112.

Adding to 212025100 its reverse (1520212), we get a palindrome (213545312).

The spelling of 212025100 in words is "two hundred twelve million, twenty-five thousand, one hundred".