212111132100 has 288 divisors, whose sum is σ = 721254003456. Its totient is φ = 47112192000.

The previous prime is 212111132099. The next prime is 212111132113. The reversal of 212111132100 is 1231111212.

It is a super-2 number, since 2×212111132100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212111132100.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 93316564 + ... + 93318836.

Almost surely, 2^212111132100 is an apocalyptic number.

212111132100 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 212111132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360627001728).

212111132100 is an abundant number, since it is smaller than the sum of its proper divisors (509142871356).

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

212111132100 is a wasteful number, since it uses less digits than its factorization.

212111132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212111132100 its reverse (1231111212), we get a palindrome (213342243312).

The spelling of 212111132100 in words is "two hundred twelve billion, one hundred eleven million, one hundred thirty-two thousand, one hundred".