100221212000 has 384 divisors, whose sum is σ = 316272273408. Its totient is φ = 30336768000.

The previous prime is 100221211999. The next prime is 100221212009. The reversal of 100221212000 is 212122001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221212009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8366015 + ... + 8377985.

It is an arithmetic number, because the mean of its divisors is an integer number (823625712).

Almost surely, 2^100221212000 is an apocalyptic number.

100221212000 is a gapful number since it is divisible by the number (10) 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 100221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158136136704).

100221212000 is an abundant number, since it is smaller than the sum of its proper divisors (216051061408).

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

100221212000 is a wasteful number, since it uses less digits than its factorization.

100221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12039 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100221212000 its reverse (212122001), we get a palindrome (100433334001).

The spelling of 100221212000 in words is "one hundred billion, two hundred twenty-one million, two hundred twelve thousand".