100021122221120 has 28 divisors (see below), whose sum is σ = 238175297289804. Its totient is φ = 40008448888320.

The previous prime is 100021122221117. The next prime is 100021122221143. The reversal of 100021122221120 is 21122221120001.

It can be written as a sum of positive squares in 2 ways, for example, as 15834478313536 + 84186643907584 = 3979256^2 + 9175328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156283003151 + ... + 156283003790.

It is an arithmetic number, because the mean of its divisors is an integer number (8506260617493).

Almost surely, 2^{100021122221120} is an apocalyptic number.

100021122221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021122221120 is an abundant number, since it is smaller than the sum of its proper divisors (138154175068684).

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

100021122221120 is an equidigital number, since it uses as much as digits as its factorization.

100021122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312566006958 (or 312566006948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100021122221120 its reverse (21122221120001), we get a palindrome (121143343341121).

The spelling of 100021122221120 in words is "one hundred trillion, twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".