100221222201120 has 480 divisors, whose sum is σ = 372349984406400. Its totient is φ = 25316533960704.

The previous prime is 100221222201077. The next prime is 100221222201187. The reversal of 100221222201120 is 21102222122001.

It is a happy number.

100221222201120 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 222 + 201 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×100221222201120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100221222201093 and 100221222201102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4788618816 + ... + 4788639744.

It is an arithmetic number, because the mean of its divisors is an integer number (775729134180).

Almost surely, 2^{100221222201120} is an apocalyptic number.

100221222201120 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 100221222201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186174992203200).

100221222201120 is an abundant number, since it is smaller than the sum of its proper divisors (272128762205280).

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

100221222201120 is a wasteful number, since it uses less digits than its factorization.

100221222201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40422 (or 40405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100221222201120 its reverse (21102222122001), we get a palindrome (121323444323121).

The spelling of 100221222201120 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".