20212212212100 has 360 divisors, whose sum is σ = 67807009448640. Its totient is φ = 5201937780480.

The previous prime is 20212212212057. The next prime is 20212212212201. The reversal of 20212212212100 is 121221221202.

It is a happy number.

20212212212100 is a `hidden beast` number, since 2 + 0 + 212 + 21 + 221 + 210 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 621764047 + ... + 621796553.

It is an arithmetic number, because the mean of its divisors is an integer number (188352804024).

Almost surely, 2^{20212212212100} is an apocalyptic number.

20212212212100 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 20212212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33903504724320).

20212212212100 is an abundant number, since it is smaller than the sum of its proper divisors (47594797236540).

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

20212212212100 is a wasteful number, since it uses less digits than its factorization.

20212212212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35209 (or 35193 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20212212212100 its reverse (121221221202), we get a palindrome (20333433433302).

The spelling of 20212212212100 in words is "twenty trillion, two hundred twelve billion, two hundred twelve million, two hundred twelve thousand, one hundred".