11102011020111 has 48 divisors (see below), whose sum is σ = 16468486110720. Its totient is φ = 6646723987200.

The previous prime is 11102011020091. The next prime is 11102011020167.

11102011020111 is nontrivially palindromic in base 10.

11102011020111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11102011020111 - 2³³ = 11093421085519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102011000111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493170346 + ... + 493192856.

It is an arithmetic number, because the mean of its divisors is an integer number (343093460640).

Almost surely, 2^{11102011020111} is an apocalyptic number.

11102011020111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102011020111 is a deficient number, since it is larger than the sum of its proper divisors (5366475090609).

11102011020111 is a wasteful number, since it uses less digits than its factorization.

11102011020111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38988 (or 38977 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1110201 and 1020111, that multiplied together give a palindrome (1132528252311).

The spelling of 11102011020111 in words is "eleven trillion, one hundred two billion, eleven million, twenty thousand, one hundred eleven".