100221221211120 has 60 divisors (see below), whose sum is σ = 336576267903096. Its totient is φ = 26725658989440.

The previous prime is 100221221211029. The next prime is 100221221211151. The reversal of 100221221211120 is 21112122122001.

100221221211120 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 221 + 211 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×100221221211120² (a number of 29 digits) contains 22 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 = 100221221211093 and 100221221211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69598069566 + ... + 69598071005.

Almost surely, 2^{100221221211120} is an apocalyptic number.

100221221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221221211120 is an abundant number, since it is smaller than the sum of its proper divisors (236355046691976).

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

100221221211120 is a wasteful number, since it uses less digits than its factorization.

100221221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139196140590 (or 139196140581 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100221221211120 its reverse (21112122122001), we get a palindrome (121333343333121).

The spelling of 100221221211120 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".