10121000211211 has 16 divisors (see below), whose sum is σ = 10580382812160. Its totient is φ = 9670405789440.

The previous prime is 10121000211163. The next prime is 10121000211227. The reversal of 10121000211211 is 11211200012101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10121000211211 - 2⁷ = 10121000211083 is a prime.

It is a super-2 number, since 2×10121000211211² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121000211191 and 10121000211200.

It is not an unprimeable number, because it can be changed into a prime (10121000211271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2756551 + ... + 5276416.

It is an arithmetic number, because the mean of its divisors is an integer number (661273925760).

Almost surely, 2^{10121000211211} is an apocalyptic number.

10121000211211 is a deficient number, since it is larger than the sum of its proper divisors (459382600949).

10121000211211 is an equidigital number, since it uses as much as digits as its factorization.

10121000211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033514.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121000211211 its reverse (11211200012101), we get a palindrome (21332200223312).

The spelling of 10121000211211 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven thousand, two hundred eleven".