10011122120211 has 16 divisors (see below), whose sum is σ = 14134459248000. Its totient is φ = 6280994890368.

The previous prime is 10011122120183. The next prime is 10011122120309. The reversal of 10011122120211 is 11202122111001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10011122120211 is a prime.

It is a super-2 number, since 2×10011122120211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011122120011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054861 + ... + 8354238.

It is an arithmetic number, because the mean of its divisors is an integer number (883403703000).

Almost surely, 2^{10011122120211} is an apocalyptic number.

10011122120211 is a deficient number, since it is larger than the sum of its proper divisors (4123337127789).

10011122120211 is a wasteful number, since it uses less digits than its factorization.

10011122120211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15421858.

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

Adding to 10011122120211 its reverse (11202122111001), we get a palindrome (21213244231212).

The spelling of 10011122120211 in words is "ten trillion, eleven billion, one hundred twenty-two million, one hundred twenty thousand, two hundred eleven".