10011121220211 has 32 divisors (see below), whose sum is σ = 13845303198720. Its totient is φ = 6426755328000.

The previous prime is 10011121220159. The next prime is 10011121220227. The reversal of 10011121220211 is 11202212111001.

It is a happy number.

It is not a de Polignac number, because 10011121220211 - 2⁷ = 10011121220083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011121222211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68316726 + ... + 68463108.

It is an arithmetic number, because the mean of its divisors is an integer number (432665724960).

Almost surely, 2^{10011121220211} is an apocalyptic number.

10011121220211 is a deficient number, since it is larger than the sum of its proper divisors (3834181978509).

10011121220211 is a wasteful number, since it uses less digits than its factorization.

10011121220211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148507.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10011121220211 its reverse (11202212111001), we get a palindrome (21213333331212).

The spelling of 10011121220211 in words is "ten trillion, eleven billion, one hundred twenty-one million, two hundred twenty thousand, two hundred eleven".