100221011211020 has 192 divisors, whose sum is σ = 247362325217280. Its totient is φ = 33396228695808.

The previous prime is 100221011211011. The next prime is 100221011211119. The reversal of 100221011211020 is 20112110122001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100221011210986 and 100221011211004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 856216619 + ... + 856333661.

It is an arithmetic number, because the mean of its divisors is an integer number (1288345443840).

Almost surely, 2^{100221011211020} is an apocalyptic number.

100221011211020 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 100221011211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123681162608640).

100221011211020 is an abundant number, since it is smaller than the sum of its proper divisors (147141314006260).

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

100221011211020 is a wasteful number, since it uses less digits than its factorization.

100221011211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118012 (or 118010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100221011211020 its reverse (20112110122001), we get a palindrome (120333121333021).

The spelling of 100221011211020 in words is "one hundred trillion, two hundred twenty-one billion, eleven million, two hundred eleven thousand, twenty".