212111121212100 has 288 divisors, whose sum is σ = 743925165742080. Its totient is φ = 51418357200000.

The previous prime is 212111121212099. The next prime is 212111121212143. The reversal of 212111121212100 is 1212121111212.

It is a happy number.

212111121212100 is a `hidden beast` number, since 21 + 211 + 1 + 121 + 212 + 100 = 666.

It is a super-2 number, since 2×212111121212100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 645840529 + ... + 646168871.

It is an arithmetic number, because the mean of its divisors is an integer number (2583073492160).

Almost surely, 2^{212111121212100} is an apocalyptic number.

212111121212100 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 212111121212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371962582871040).

212111121212100 is an abundant number, since it is smaller than the sum of its proper divisors (531814044529980).

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

212111121212100 is a wasteful number, since it uses less digits than its factorization.

212111121212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350128 (or 350115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212111121212100 its reverse (1212121111212), we get a palindrome (213323242323312).

The spelling of 212111121212100 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".