100210221222221 has 4 divisors (see below), whose sum is σ = 109320241333344. Its totient is φ = 91100201111100.

The previous prime is 100210221222211. The next prime is 100210221222359. The reversal of 100210221222221 is 122222122012001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100210221222221 - 2³⁴ = 100193041353037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210221222193 and 100210221222202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210221222211) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4555010055545 + ... + 4555010055566.

It is an arithmetic number, because the mean of its divisors is an integer number (27330060333336).

Almost surely, 2^{100210221222221} is an apocalyptic number.

100210221222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210221222221 is a deficient number, since it is larger than the sum of its proper divisors (9110020111123).

100210221222221 is an equidigital number, since it uses as much as digits as its factorization.

100210221222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110020111122.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100210221222221 its reverse (122222122012001), we get a palindrome (222432343234222).

The spelling of 100210221222221 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty-one".