212264117100 has 432 divisors, whose sum is σ = 775844509440. Its totient is φ = 47536243200.

The previous prime is 212264117071. The next prime is 212264117123. The reversal of 212264117100 is 1711462212.

212264117100 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 641 + 1 + 7 + 10 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138643335 + ... + 138644865.

Almost surely, 2^212264117100 is an apocalyptic number.

212264117100 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 212264117100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387922254720).

212264117100 is an abundant number, since it is smaller than the sum of its proper divisors (563580392340).

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

212264117100 is a wasteful number, since it uses less digits than its factorization.

212264117100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 212264117100 its reverse (1711462212), we get a palindrome (213975579312).

The spelling of 212264117100 in words is "two hundred twelve billion, two hundred sixty-four million, one hundred seventeen thousand, one hundred".