212130432056100 has 288 divisors, whose sum is σ = 667022130073600. Its totient is φ = 51853257561600.

The previous prime is 212130432056087. The next prime is 212130432056177. The reversal of 212130432056100 is 1650234031212.

212130432056100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066638471 + ... + 1066837329.

Almost surely, 2^{212130432056100} is an apocalyptic number.

212130432056100 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 212130432056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333511065036800).

212130432056100 is an abundant number, since it is smaller than the sum of its proper divisors (454891698017500).

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

212130432056100 is a wasteful number, since it uses less digits than its factorization.

212130432056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204963 (or 204956 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 212130432056100 its reverse (1650234031212), we get a palindrome (213780666087312).

The spelling of 212130432056100 in words is "two hundred twelve trillion, one hundred thirty billion, four hundred thirty-two million, fifty-six thousand, one hundred".