100221333120 has 96 divisors (see below), whose sum is σ = 346076810820. Its totient is φ = 26725687296.

The previous prime is 100221333109. The next prime is 100221333137. The reversal of 100221333120 is 21333122001.

100221333120 is a `hidden beast` number, since 100 + 2 + 213 + 331 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98651271744 + 1570061376 = 314088^2 + 39624^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100221333120² (a number of 23 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 = 100221333093 and 100221333102.

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, 8694009 + ... + 8705528.

Almost surely, 2^100221333120 is an apocalyptic number.

100221333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221333120 is an abundant number, since it is smaller than the sum of its proper divisors (245855477700).

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

100221333120 is a wasteful number, since it uses less digits than its factorization.

100221333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17399562 (or 17399547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100221333120 its reverse (21333122001), we get a palindrome (121554455121).

The spelling of 100221333120 in words is "one hundred billion, two hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty".