10002221122201 has 20 divisors (see below), whose sum is σ = 12574142892160. Its totient is φ = 7793938456920.

The previous prime is 10002221122169. The next prime is 10002221122213. The reversal of 10002221122201 is 10222112220001.

It is a happy number.

It is not a de Polignac number, because 10002221122201 - 2⁵ = 10002221122169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002221122261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48695025 + ... + 48899998.

It is an arithmetic number, because the mean of its divisors is an integer number (628707144608).

Almost surely, 2^{10002221122201} is an apocalyptic number.

10002221122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002221122201 is a deficient number, since it is larger than the sum of its proper divisors (2571921769959).

10002221122201 is an frugal number, since it uses more digits than its factorization.

10002221122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97595074 (or 97595041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10002221122201 its reverse (10222112220001), we get a palindrome (20224333342202).

The spelling of 10002221122201 in words is "ten trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred one".