10002212102201 has 4 divisors (see below), whose sum is σ = 10911504111504. Its totient is φ = 9092920092900.

The previous prime is 10002212102189. The next prime is 10002212102213. The reversal of 10002212102201 is 10220121220001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (10002212102189) and next prime (10002212102213).

It is a cyclic number.

It is not a de Polignac number, because 10002212102201 - 2¹⁰ = 10002212101177 is a prime.

It is a super-2 number, since 2×10002212102201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002212102501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454646004635 + ... + 454646004656.

It is an arithmetic number, because the mean of its divisors is an integer number (2727876027876).

Almost surely, 2^{10002212102201} is an apocalyptic number.

10002212102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002212102201 is a deficient number, since it is larger than the sum of its proper divisors (909292009303).

10002212102201 is an equidigital number, since it uses as much as digits as its factorization.

10002212102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909292009302.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10002212102201 its reverse (10220121220001), we get a palindrome (20222333322202).

The spelling of 10002212102201 in words is "ten trillion, two billion, two hundred twelve million, one hundred two thousand, two hundred one".