101100112220221 has 2 divisors, whose sum is σ = 101100112220222. Its totient is φ = 101100112220220.

The previous prime is 101100112220213. The next prime is 101100112220231. The reversal of 101100112220221 is 122022211001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91974813122500 + 9125299097721 = 9590350^2 + 3020811^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100112220221 - 2³ = 101100112220213 is a prime.

It is a super-4 number, since 4×101100112220221⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100112220195 and 101100112220204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100112220231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550056110110 + 50550056110111.

It is an arithmetic number, because the mean of its divisors is an integer number (50550056110111).

Almost surely, 2^{101100112220221} is an apocalyptic number.

It is an amenable number.

101100112220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100112220221 is an equidigital number, since it uses as much as digits as its factorization.

101100112220221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101100112220221 its reverse (122022211001101), we get a palindrome (223122323221322).

The spelling of 101100112220221 in words is "one hundred one trillion, one hundred billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".