10002121200211 has 16 divisors (see below), whose sum is σ = 11591052841984. Its totient is φ = 8453274156864.

The previous prime is 10002121200209. The next prime is 10002121200257. The reversal of 10002121200211 is 11200212120001.

It is a cyclic number.

It is not a de Polignac number, because 10002121200211 - 2¹ = 10002121200209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002121200191 and 10002121200200.

It is not an unprimeable number, because it can be changed into a prime (10002121260211) 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 15 ways as a sum of consecutive naturals, for example, 1219281 + ... + 4635826.

It is an arithmetic number, because the mean of its divisors is an integer number (724440802624).

Almost surely, 2^{10002121200211} is an apocalyptic number.

10002121200211 is a deficient number, since it is larger than the sum of its proper divisors (1588931641773).

10002121200211 is an equidigital number, since it uses as much as digits as its factorization.

10002121200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858530.

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

Adding to 10002121200211 its reverse (11200212120001), we get a palindrome (21202333320212).

The spelling of 10002121200211 in words is "ten trillion, two billion, one hundred twenty-one million, two hundred thousand, two hundred eleven".