10001112111111 has 16 divisors (see below), whose sum is σ = 14547649563648. Its totient is φ = 6061039483200.

The previous prime is 10001112111019. The next prime is 10001112111113. The reversal of 10001112111111 is 11111121110001.

It is not a de Polignac number, because 10001112111111 - 2²⁹ = 10000575240199 is a prime.

It is a super-2 number, since 2×10001112111111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001112111113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5168830 + ... + 6835131.

It is an arithmetic number, because the mean of its divisors is an integer number (909228097728).

Almost surely, 2^{10001112111111} is an apocalyptic number.

10001112111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001112111111 is a deficient number, since it is larger than the sum of its proper divisors (4546537452537).

10001112111111 is a wasteful number, since it uses less digits than its factorization.

10001112111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029222.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10001112111111 its reverse (11111121110001), we get a palindrome (21112233221112).

It can be divided in two parts, 1000 and 1112111111, that added together give a palindrome (1112112111).

The spelling of 10001112111111 in words is "ten trillion, one billion, one hundred twelve million, one hundred eleven thousand, one hundred eleven".