100221211100010 has 512 divisors, whose sum is σ = 343350381330432. Its totient is φ = 18040516116480.

The previous prime is 100221211099931. The next prime is 100221211100011. The reversal of 100221211100010 is 10001112122001.

It is not an unprimeable number, because it can be changed into a prime (100221211100011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35237674 + ... + 37975466.

It is an arithmetic number, because the mean of its divisors is an integer number (670606213536).

Almost surely, 2^{100221211100010} is an apocalyptic number.

100221211100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221211100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171675190665216).

100221211100010 is an abundant number, since it is smaller than the sum of its proper divisors (243129170230422).

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

100221211100010 is a wasteful number, since it uses less digits than its factorization.

100221211100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737910.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221211100010 its reverse (10001112122001), we get a palindrome (110222323222011).

The spelling of 100221211100010 in words is "one hundred trillion, two hundred twenty-one billion, two hundred eleven million, one hundred thousand, ten".