221100112101109 has 2 divisors, whose sum is σ = 221100112101110. Its totient is φ = 221100112101108.

The previous prime is 221100112101097. The next prime is 221100112101133. The reversal of 221100112101109 is 901101211001122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219804790414225 + 1295321686884 = 14825815^2 + 1138122^2 .

It is a cyclic number.

It is not a de Polignac number, because 221100112101109 - 2⁹ = 221100112100597 is a prime.

It is a super-2 number, since 2×221100112101109² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221100112101109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221100122101109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550056050554 + 110550056050555.

It is an arithmetic number, because the mean of its divisors is an integer number (110550056050555).

Almost surely, 2^{221100112101109} is an apocalyptic number.

It is an amenable number.

221100112101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

221100112101109 is an equidigital number, since it uses as much as digits as its factorization.

221100112101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 221100112101109 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twelve million, one hundred one thousand, one hundred nine".