10002122100211 has 4 divisors (see below), whose sum is σ = 10128731240800. Its totient is φ = 9875512959624.

The previous prime is 10002122100169. The next prime is 10002122100263. The reversal of 10002122100211 is 11200122120001.

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

It is a cyclic number.

It is not a de Polignac number, because 10002122100211 - 2⁹ = 10002122099699 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002122100191 and 10002122100200.

It is not an unprimeable number, because it can be changed into a prime (10002122100011) 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, 63304570176 + ... + 63304570333.

It is an arithmetic number, because the mean of its divisors is an integer number (2532182810200).

Almost surely, 2^{10002122100211} is an apocalyptic number.

10002122100211 is a deficient number, since it is larger than the sum of its proper divisors (126609140589).

10002122100211 is an equidigital number, since it uses as much as digits as its factorization.

10002122100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126609140588.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002122100211 its reverse (11200122120001), we get a palindrome (21202244220212).

The spelling of 10002122100211 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred thousand, two hundred eleven".