100220112121221 has 24 divisors (see below), whose sum is σ = 153308518248600. Its totient is φ = 62870612852736.

The previous prime is 100220112121139. The next prime is 100220112121271. The reversal of 100220112121221 is 122121211022001.

100220112121221 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 11 + 212 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7444957817025 + 92775154304196 = 2728545^2 + 9631986^2 .

It is not a de Polignac number, because 100220112121221 - 2²⁶ = 100220045012357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100220112121194 and 100220112121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220112121271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64831246 + ... + 66359103.

It is an arithmetic number, because the mean of its divisors is an integer number (6387854927025).

Almost surely, 2^{100220112121221} is an apocalyptic number.

It is an amenable number.

100220112121221 is a deficient number, since it is larger than the sum of its proper divisors (53088406127379).

100220112121221 is a wasteful number, since it uses less digits than its factorization.

100220112121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131195365 (or 131195362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100220112121221 its reverse (122121211022001), we get a palindrome (222341323143222).

The spelling of 100220112121221 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-one".