10002111122221 has 4 divisors (see below), whose sum is σ = 10002937140700. Its totient is φ = 10001285103744.

The previous prime is 10002111122161. The next prime is 10002111122233. The reversal of 10002111122221 is 12222111120001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9991851458121 + 10259664100 = 3160989^2 + 101290^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002111122221 - 2⁷ = 10002111122093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002111122195 and 10002111122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002111122261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412991076 + ... + 413015293.

It is an arithmetic number, because the mean of its divisors is an integer number (2500734285175).

Almost surely, 2^{10002111122221} is an apocalyptic number.

It is an amenable number.

10002111122221 is a deficient number, since it is larger than the sum of its proper divisors (826018479).

10002111122221 is an equidigital number, since it uses as much as digits as its factorization.

10002111122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826018478.

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

Adding to 10002111122221 its reverse (12222111120001), we get a palindrome (22224222242222).

The spelling of 10002111122221 in words is "ten trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred twenty-one".