100221020212221 has 48 divisors (see below), whose sum is σ = 146611752421680. Its totient is φ = 65963406136320.

The previous prime is 100221020212199. The next prime is 100221020212309. The reversal of 100221020212221 is 122212020122001.

It is a happy number.

100221020212221 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 210 + 20 + 212 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 920074232025 + 99300945980196 = 959205^2 + 9964986^2 .

It is not a de Polignac number, because 100221020212221 - 2¹³ = 100221020204029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100221020212194 and 100221020212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221020212421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1580816295 + ... + 1580879691.

It is an arithmetic number, because the mean of its divisors is an integer number (3054411508785).

Almost surely, 2^{100221020212221} is an apocalyptic number.

It is an amenable number.

100221020212221 is a deficient number, since it is larger than the sum of its proper divisors (46390732209459).

100221020212221 is a wasteful number, since it uses less digits than its factorization.

100221020212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66446 (or 66443 counting only the distinct ones).

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

Adding to 100221020212221 its reverse (122212020122001), we get a palindrome (222433040334222).

The spelling of 100221020212221 in words is "one hundred trillion, two hundred twenty-one billion, twenty million, two hundred twelve thousand, two hundred twenty-one".