100222130221120 has 56 divisors (see below), whose sum is σ = 241923179804184. Its totient is φ = 39539689721856.

The previous prime is 100222130221079. The next prime is 100222130221151. The reversal of 100222130221120 is 21122031222001.

It can be written as a sum of positive squares in 4 ways, for example, as 42158217900096 + 58063912321024 = 6492936^2 + 7619968^2 .

It is a super-3 number, since 3×100222130221120³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2145142099 + ... + 2145188818.

Almost surely, 2^{100222130221120} is an apocalyptic number.

100222130221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222130221120 is an abundant number, since it is smaller than the sum of its proper divisors (141701049583064).

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

100222130221120 is an equidigital number, since it uses as much as digits as its factorization.

100222130221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290331007 (or 4290330997 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100222130221120 its reverse (21122031222001), we get a palindrome (121344161443121).

The spelling of 100222130221120 in words is "one hundred trillion, two hundred twenty-two billion, one hundred thirty million, two hundred twenty-one thousand, one hundred twenty".