221212122000100 has 288 divisors, whose sum is σ = 619594715900160. Its totient is φ = 66520258560000.

The previous prime is 221212122000047. The next prime is 221212122000109. The reversal of 221212122000100 is 1000221212122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221212122000109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289238200 + ... + 290002000.

It is an arithmetic number, because the mean of its divisors is an integer number (2151370541320).

Almost surely, 2^{221212122000100} is an apocalyptic number.

221212122000100 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 221212122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309797357950080).

221212122000100 is an abundant number, since it is smaller than the sum of its proper divisors (398382593900060).

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

221212122000100 is a wasteful number, since it uses less digits than its factorization.

221212122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765159 (or 765152 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221212122000100 its reverse (1000221212122), we get a palindrome (222212343212222).

The spelling of 221212122000100 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred", and thus it is an aban number.