10011111120211 has 8 divisors (see below), whose sum is σ = 10035520323840. Its totient is φ = 9986709212232.

The previous prime is 10011111120169. The next prime is 10011111120221. The reversal of 10011111120211 is 11202111111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10011111120211 - 2¹¹ = 10011111118163 is a prime.

It is a super-2 number, since 2×10011111120211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011111120191 and 10011111120200.

It is not an unprimeable number, because it can be changed into a prime (10011111120221) 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 7 ways as a sum of consecutive naturals, for example, 928896 + ... + 4570018.

It is an arithmetic number, because the mean of its divisors is an integer number (1254440040480).

Almost surely, 2^{10011111120211} is an apocalyptic number.

10011111120211 is a deficient number, since it is larger than the sum of its proper divisors (24409203629).

10011111120211 is an equidigital number, since it uses as much as digits as its factorization.

10011111120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647825.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10011111120211 its reverse (11202111111001), we get a palindrome (21213222231212).

The spelling of 10011111120211 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred twenty thousand, two hundred eleven".