10002212201121 has 8 divisors (see below), whose sum is σ = 15241466211264. Its totient is φ = 5715549829200.

The previous prime is 10002212201057. The next prime is 10002212201173. The reversal of 10002212201121 is 12110221220001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10002212201121 - 2⁶ = 10002212201057 is a prime.

It is a super-4 number, since 4×10002212201121⁴ (a number of 53 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002212201121.

It is not an unprimeable number, because it can be changed into a prime (10002212201021) 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 7 ways as a sum of consecutive naturals, for example, 238147909530 + ... + 238147909571.

It is an arithmetic number, because the mean of its divisors is an integer number (1905183276408).

Almost surely, 2^{10002212201121} is an apocalyptic number.

It is an amenable number.

10002212201121 is a deficient number, since it is larger than the sum of its proper divisors (5239254010143).

10002212201121 is an equidigital number, since it uses as much as digits as its factorization.

10002212201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476295819111.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10002212201121 its reverse (12110221220001), we get a palindrome (22112433421122).

The spelling of 10002212201121 in words is "ten trillion, two billion, two hundred twelve million, two hundred one thousand, one hundred twenty-one".