100222202101221 has 12 divisors (see below), whose sum is σ = 153281014978572. Its totient is φ = 62884518965376.

The previous prime is 100222202101213. The next prime is 100222202101243. The reversal of 100222202101221 is 122101202222001.

It is a happy number.

100222202101221 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 220 + 210 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93103471172196 + 7118730929025 = 9649014^2 + 2668095^2 .

It is not a de Polignac number, because 100222202101221 - 2³ = 100222202101213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100222202101194 and 100222202101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222202100221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327523536126 + ... + 327523536431.

It is an arithmetic number, because the mean of its divisors is an integer number (12773417914881).

Almost surely, 2^{100222202101221} is an apocalyptic number.

It is an amenable number.

100222202101221 is a deficient number, since it is larger than the sum of its proper divisors (53058812877351).

100222202101221 is a wasteful number, since it uses less digits than its factorization.

100222202101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655047072580 (or 655047072577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100222202101221 its reverse (122101202222001), we get a palindrome (222323404323222).

The spelling of 100222202101221 in words is "one hundred trillion, two hundred twenty-two billion, two hundred two million, one hundred one thousand, two hundred twenty-one".