10111011002111 has 4 divisors (see below), whose sum is σ = 10111083466224. Its totient is φ = 10110938538000.

The previous prime is 10111011002101. The next prime is 10111011002227. The reversal of 10111011002111 is 11120011011101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10111011002111 - 2²⁶ = 10110943893247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111011002092 and 10111011002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111011002101) 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 3 ways as a sum of consecutive naturals, for example, 36022355 + ... + 36301956.

It is an arithmetic number, because the mean of its divisors is an integer number (2527770866556).

Almost surely, 2^{10111011002111} is an apocalyptic number.

10111011002111 is a deficient number, since it is larger than the sum of its proper divisors (72464113).

10111011002111 is an equidigital number, since it uses as much as digits as its factorization.

10111011002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72464112.

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

Adding to 10111011002111 its reverse (11120011011101), we get a palindrome (21231022013212).

The spelling of 10111011002111 in words is "ten trillion, one hundred eleven billion, eleven million, two thousand, one hundred eleven".