10011100112111 has 16 divisors (see below), whose sum is σ = 11707521644544. Its totient is φ = 8381251103904.

The previous prime is 10011100112107. The next prime is 10011100112161. The reversal of 10011100112111 is 11121100111001.

It is a happy number.

It is not a de Polignac number, because 10011100112111 - 2² = 10011100112107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011100112092 and 10011100112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011100112161) 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, 21333641 + ... + 21797853.

It is an arithmetic number, because the mean of its divisors is an integer number (731720102784).

Almost surely, 2^{10011100112111} is an apocalyptic number.

10011100112111 is a deficient number, since it is larger than the sum of its proper divisors (1696421532433).

10011100112111 is an equidigital number, since it uses as much as digits as its factorization.

10011100112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535910.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10011100112111 its reverse (11121100111001), we get a palindrome (21132200223112).

The spelling of 10011100112111 in words is "ten trillion, eleven billion, one hundred million, one hundred twelve thousand, one hundred eleven".