10112101110111 has 64 divisors (see below), whose sum is σ = 18592047000576. Its totient is φ = 4717906560000.

The previous prime is 10112101109989. The next prime is 10112101110113. The reversal of 10112101110111 is 11101110121101.

It is not a de Polignac number, because 10112101110111 - 2¹⁷ = 10112100979039 is a prime.

It is a super-2 number, since 2×10112101110111² (a number of 27 digits) contains 22 as substring.

10112101110111 is a modest number, since divided by 1110111 gives 101121 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112101110113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45393390 + ... + 45615611.

It is an arithmetic number, because the mean of its divisors is an integer number (290500734384).

Almost surely, 2^{10112101110111} is an apocalyptic number.

10112101110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10112101110111 is a deficient number, since it is larger than the sum of its proper divisors (8479945890465).

10112101110111 is a wasteful number, since it uses less digits than its factorization.

10112101110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91009072.

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

Adding to 10112101110111 its reverse (11101110121101), we get a palindrome (21213211231212).

The spelling of 10112101110111 in words is "ten trillion, one hundred twelve billion, one hundred one million, one hundred ten thousand, one hundred eleven".