212220220202100 has 216 divisors, whose sum is σ = 726029808180768. Its totient is φ = 51421429382400.

The previous prime is 212220220202099. The next prime is 212220220202279. The reversal of 212220220202100 is 1202022022212.

212220220202100 is a `hidden beast` number, since 2 + 12 + 220 + 220 + 2 + 0 + 210 + 0 = 666.

212220220202100 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14277142 + ... + 25065458.

It is an arithmetic number, because the mean of its divisors is an integer number (3361249111948).

Almost surely, 2^{212220220202100} is an apocalyptic number.

212220220202100 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 212220220202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363014904090384).

212220220202100 is an abundant number, since it is smaller than the sum of its proper divisors (513809587978668).

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

212220220202100 is a wasteful number, since it uses less digits than its factorization.

212220220202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10790335 (or 10790325 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212220220202100 its reverse (1202022022212), we get a palindrome (213422242224312).

The spelling of 212220220202100 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred twenty million, two hundred two thousand, one hundred".