101100200112221 has 2 divisors, whose sum is σ = 101100200112222. Its totient is φ = 101100200112220.

The previous prime is 101100200112193. The next prime is 101100200112283. The reversal of 101100200112221 is 122211002001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86002235040121 + 15097965072100 = 9273739^2 + 3885610^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100200112221 - 2¹⁴ = 101100200095837 is a prime.

It is a super-2 number, since 2×101100200112221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100200112196 and 101100200112205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100200112721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550100056110 + 50550100056111.

It is an arithmetic number, because the mean of its divisors is an integer number (50550100056111).

Almost surely, 2^{101100200112221} is an apocalyptic number.

It is an amenable number.

101100200112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100200112221 is an equidigital number, since it uses as much as digits as its factorization.

101100200112221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100200112221 its reverse (122211002001101), we get a palindrome (223311202113322).

The spelling of 101100200112221 in words is "one hundred one trillion, one hundred billion, two hundred million, one hundred twelve thousand, two hundred twenty-one".