112102112001 has 64 divisors (see below), whose sum is σ = 173152131840. Its totient is φ = 63880320000.

The previous prime is 112102111999. The next prime is 112102112029. The reversal of 112102112001 is 100211201211.

It is not a de Polignac number, because 112102112001 - 2¹ = 112102111999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112102112041) 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, 5886571 + ... + 5905583.

It is an arithmetic number, because the mean of its divisors is an integer number (2705502060).

Almost surely, 2^112102112001 is an apocalyptic number.

112102112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102112001 is a deficient number, since it is larger than the sum of its proper divisors (61050019839).

112102112001 is a wasteful number, since it uses less digits than its factorization.

112102112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19218.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112102112001 its reverse (100211201211), we get a palindrome (212313313212).

It can be divided in two parts, 11 and 2102112001, that added together give a palindrome (2102112012).

The spelling of 112102112001 in words is "one hundred twelve billion, one hundred two million, one hundred twelve thousand, one".