10011331122111 has 12 divisors (see below), whose sum is σ = 15775430859240. Its totient is φ = 6067473407280.

The previous prime is 10011331122077. The next prime is 10011331122139. The reversal of 10011331122111 is 11122113311001.

10011331122111 is a `hidden beast` number, since 10 + 0 + 113 + 311 + 221 + 11 = 666.

It is not a de Polignac number, because 10011331122111 - 2¹⁸ = 10011330859967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011331122811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50562278296 + ... + 50562278493.

It is an arithmetic number, because the mean of its divisors is an integer number (1314619238270).

Almost surely, 2^{10011331122111} is an apocalyptic number.

10011331122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011331122111 is a deficient number, since it is larger than the sum of its proper divisors (5764099737129).

10011331122111 is a wasteful number, since it uses less digits than its factorization.

10011331122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101124556806 (or 101124556803 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10011331122111 its reverse (11122113311001), we get a palindrome (21133444433112).

The spelling of 10011331122111 in words is "ten trillion, eleven billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred eleven".