10111013232111 has 48 divisors (see below), whose sum is σ = 16226629585920. Its totient is φ = 6015070978560.

The previous prime is 10111013232107. The next prime is 10111013232113. The reversal of 10111013232111 is 11123231011101.

10111013232111 is a `hidden beast` number, since 101 + 110 + 132 + 321 + 1 + 1 = 666.

It is not a de Polignac number, because 10111013232111 - 2² = 10111013232107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111013232113) 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, 2644930 + ... + 5217056.

It is an arithmetic number, because the mean of its divisors is an integer number (338054783040).

Almost surely, 2^{10111013232111} is an apocalyptic number.

10111013232111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111013232111 is a deficient number, since it is larger than the sum of its proper divisors (6115616353809).

10111013232111 is a wasteful number, since it uses less digits than its factorization.

10111013232111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572876 (or 2572873 counting only the distinct ones).

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

Adding to 10111013232111 its reverse (11123231011101), we get a palindrome (21234244243212).

The spelling of 10111013232111 in words is "ten trillion, one hundred eleven billion, thirteen million, two hundred thirty-two thousand, one hundred eleven".