100212221102000 has 320 divisors, whose sum is σ = 277636487651328. Its totient is φ = 34270853760000.

The previous prime is 100212221101997. The next prime is 100212221102009. The reversal of 100212221102000 is 201122212001.

It is a super-2 number, since 2×100212221102000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100212221102009) 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, 9586928774 + ... + 9586939226.

Almost surely, 2^{100212221102000} is an apocalyptic number.

100212221102000 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 100212221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138818243825664).

100212221102000 is an abundant number, since it is smaller than the sum of its proper divisors (177424266549328).

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

100212221102000 is a wasteful number, since it uses less digits than its factorization.

100212221102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12165 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212221102000 its reverse (201122212001), we get a palindrome (100413343314001).

The spelling of 100212221102000 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, one hundred two thousand".