100122122011221 has 6 divisors (see below), whose sum is σ = 144620842905110. Its totient is φ = 66748081340808.

The previous prime is 100122122011151. The next prime is 100122122011229. The reversal of 100122122011221 is 122110221221001.

100122122011221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 220 + 1 + 1 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100097743872996 + 24378138225 = 10004886^2 + 156135^2 .

It is not a de Polignac number, because 100122122011221 - 2¹⁸ = 100122121749077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122122011194 and 100122122011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122122011229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562340111726 + ... + 5562340111743.

Almost surely, 2^{100122122011221} is an apocalyptic number.

It is an amenable number.

100122122011221 is a deficient number, since it is larger than the sum of its proper divisors (44498720893889).

100122122011221 is a wasteful number, since it uses less digits than its factorization.

100122122011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124680223475 (or 11124680223472 counting only the distinct ones).

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

Adding to 100122122011221 its reverse (122110221221001), we get a palindrome (222232343232222).

The spelling of 100122122011221 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, eleven thousand, two hundred twenty-one".