100112211202221 has 6 divisors (see below), whose sum is σ = 144606527292110. Its totient is φ = 66741474134808.

The previous prime is 100112211202219. The next prime is 100112211202229. The reversal of 100112211202221 is 122202112211001.

100112211202221 is a `hidden beast` number, since 10 + 0 + 11 + 221 + 1 + 202 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86784315956100 + 13327895246121 = 9315810^2 + 3650739^2 .

It is not a de Polignac number, because 100112211202221 - 2¹ = 100112211202219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112211202194 and 100112211202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112211202229) 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, 5561789511226 + ... + 5561789511243.

Almost surely, 2^{100112211202221} is an apocalyptic number.

It is an amenable number.

100112211202221 is a deficient number, since it is larger than the sum of its proper divisors (44494316089889).

100112211202221 is a wasteful number, since it uses less digits than its factorization.

100112211202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123579022475 (or 11123579022472 counting only the distinct ones).

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

Adding to 100112211202221 its reverse (122202112211001), we get a palindrome (222314323413222).

The spelling of 100112211202221 in words is "one hundred trillion, one hundred twelve billion, two hundred eleven million, two hundred two thousand, two hundred twenty-one".