112111011001011 has 64 divisors (see below), whose sum is σ = 177384223272960. Its totient is φ = 62250476400000.

The previous prime is 112111011000977. The next prime is 112111011001013. The reversal of 112111011001011 is 110100110111211.

It is not a de Polignac number, because 112111011001011 - 2³⁵ = 112076651262643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112111011001013) 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, 17862415 + ... + 23308536.

It is an arithmetic number, because the mean of its divisors is an integer number (2771628488640).

Almost surely, 2^{112111011001011} is an apocalyptic number.

112111011001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112111011001011 is a deficient number, since it is larger than the sum of its proper divisors (65273212271949).

112111011001011 is a wasteful number, since it uses less digits than its factorization.

112111011001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41171128.

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

Adding to 112111011001011 its reverse (110100110111211), we get a palindrome (222211121112222).

It can be divided in two parts, 1121110 and 11001011, that added together give a palindrome (12122121).

The spelling of 112111011001011 in words is "one hundred twelve trillion, one hundred eleven billion, eleven million, one thousand, eleven".