100022212221221 has 16 divisors (see below), whose sum is σ = 100488722128560. Its totient is φ = 99556434862080.

The previous prime is 100022212221203. The next prime is 100022212221227. The reversal of 100022212221221 is 122122212220001.

It can be written as a sum of positive squares in 8 ways, for example, as 6530524029121 + 93491688192100 = 2555489^2 + 9669110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022212221221 is a prime.

It is a super-5 number, since 5×100022212221221⁵ (a number of 71 digits) contains 55555 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022212221193 and 100022212221202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022212221227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939253585 + ... + 1939305161.

It is an arithmetic number, because the mean of its divisors is an integer number (6280545133035).

Almost surely, 2^{100022212221221} is an apocalyptic number.

It is an amenable number.

100022212221221 is a deficient number, since it is larger than the sum of its proper divisors (466509907339).

100022212221221 is a wasteful number, since it uses less digits than its factorization.

100022212221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58504.

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

Adding to 100022212221221 its reverse (122122212220001), we get a palindrome (222144424441222).

The spelling of 100022212221221 in words is "one hundred trillion, twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".