10001113211111 has 16 divisors (see below), whose sum is σ = 11097822620448. Its totient is φ = 9011461486720.

The previous prime is 10001113211099. The next prime is 10001113211129. The reversal of 10001113211111 is 11111231110001.

It is a de Polignac number, because none of the positive numbers 2^k-10001113211111 is a prime.

It is a super-2 number, since 2×10001113211111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001113211161) 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 15 ways as a sum of consecutive naturals, for example, 33097316 + ... + 33398121.

It is an arithmetic number, because the mean of its divisors is an integer number (693613913778).

Almost surely, 2^{10001113211111} is an apocalyptic number.

10001113211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001113211111 is a deficient number, since it is larger than the sum of its proper divisors (1096709409337).

10001113211111 is an equidigital number, since it uses as much as digits as its factorization.

10001113211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66495583 (or 66495561 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 10001113211111 its reverse (11111231110001), we get a palindrome (21112344321112).

The spelling of 10001113211111 in words is "ten trillion, one billion, one hundred thirteen million, two hundred eleven thousand, one hundred eleven".