11112002100221 has 6 divisors (see below), whose sum is σ = 12214018837566. Its totient is φ = 10101820091000.

The previous prime is 11112002100211. The next prime is 11112002100223. The reversal of 11112002100221 is 12200120021111.

It can be written as a sum of positive squares in only one way, i.e., 10911064176100 + 200937924121 = 3303190^2 + 448261^2 .

It is not a de Polignac number, because 11112002100221 - 2¹⁰ = 11112002099197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11112002100196 and 11112002100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112002100223) 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, 45917363930 + ... + 45917364171.

It is an arithmetic number, because the mean of its divisors is an integer number (2035669806261).

Almost surely, 2^{11112002100221} is an apocalyptic number.

11112002100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11112002100221 is a deficient number, since it is larger than the sum of its proper divisors (1102016737345).

11112002100221 is an equidigital number, since it uses as much as digits as its factorization.

11112002100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91834728123 (or 91834728112 counting only the distinct ones).

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

Adding to 11112002100221 its reverse (12200120021111), we get a palindrome (23312122121332).

The spelling of 11112002100221 in words is "eleven trillion, one hundred twelve billion, two million, one hundred thousand, two hundred twenty-one".