11001002120111 has 16 divisors (see below), whose sum is σ = 11249119296000. Its totient is φ = 10755183304800.

The previous prime is 11001002120089. The next prime is 11001002120131. The reversal of 11001002120111 is 11102120010011.

It is a cyclic number.

It is not a de Polignac number, because 11001002120111 - 2³⁰ = 10999928378287 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001002120092 and 11001002120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001002120131) 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 15 ways as a sum of consecutive naturals, for example, 11320310 + ... + 12253628.

It is an arithmetic number, because the mean of its divisors is an integer number (703069956000).

Almost surely, 2^{11001002120111} is an apocalyptic number.

11001002120111 is a deficient number, since it is larger than the sum of its proper divisors (248117175889).

11001002120111 is an equidigital number, since it uses as much as digits as its factorization.

11001002120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934550.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11001002120111 its reverse (11102120010011), we get a palindrome (22103122130122).

The spelling of 11001002120111 in words is "eleven trillion, one billion, two million, one hundred twenty thousand, one hundred eleven".