10111011122011 has 8 divisors (see below), whose sum is σ = 10328222399040. Its totient is φ = 9893886652608.

The previous prime is 10111011121997. The next prime is 10111011122021. The reversal of 10111011122011 is 11022111011101.

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 10111011122011 - 2⁵ = 10111011121979 is a prime.

It is a super-2 number, since 2×10111011122011² (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 = 10111011121982 and 10111011122000.

It is not an unprimeable number, because it can be changed into a prime (10111011122021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21466426 + ... + 21932383.

It is an arithmetic number, because the mean of its divisors is an integer number (1291027799880).

Almost surely, 2^{10111011122011} is an apocalyptic number.

10111011122011 is a deficient number, since it is larger than the sum of its proper divisors (217211277029).

10111011122011 is an equidigital number, since it uses as much as digits as its factorization.

10111011122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43403813.

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

Adding to 10111011122011 its reverse (11022111011101), we get a palindrome (21133122133112).

The spelling of 10111011122011 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred twenty-two thousand, eleven".