10011101120111 has 32 divisors (see below), whose sum is σ = 13057906942080. Its totient is φ = 7448214122496.

The previous prime is 10011101120071. The next prime is 10011101120113. The reversal of 10011101120111 is 11102110111001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10011101120111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011101120092 and 10011101120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202006 + ... + 4633251.

It is an arithmetic number, because the mean of its divisors is an integer number (408059591940).

Almost surely, 2^{10011101120111} is an apocalyptic number.

10011101120111 is a deficient number, since it is larger than the sum of its proper divisors (3046805821969).

10011101120111 is a wasteful number, since it uses less digits than its factorization.

10011101120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836403.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10011101120111 its reverse (11102110111001), we get a palindrome (21113211231112).

The spelling of 10011101120111 in words is "ten trillion, eleven billion, one hundred one million, one hundred twenty thousand, one hundred eleven".