100221002101220 has 384 divisors, whose sum is σ = 293020427750400. Its totient is φ = 27774312652800.

The previous prime is 100221002101193. The next prime is 100221002101261. The reversal of 100221002101220 is 22101200122001.

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 = 100221002101195 and 100221002101204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244219166 + ... + 244629194.

It is an arithmetic number, because the mean of its divisors is an integer number (763074030600).

Almost surely, 2^{100221002101220} is an apocalyptic number.

100221002101220 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 100221002101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146510213875200).

100221002101220 is an abundant number, since it is smaller than the sum of its proper divisors (192799425649180).

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

100221002101220 is a wasteful number, since it uses less digits than its factorization.

100221002101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410519 (or 410517 counting only the distinct ones).

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

Adding to 100221002101220 its reverse (22101200122001), we get a palindrome (122322202223221).

The spelling of 100221002101220 in words is "one hundred trillion, two hundred twenty-one billion, two million, one hundred one thousand, two hundred twenty".