112101001212101 has 32 divisors (see below), whose sum is σ = 124784628433920. Its totient is φ = 99838597248000.

The previous prime is 112101001212077. The next prime is 112101001212103. The reversal of 112101001212101 is 101212100101211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112101001212101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101001212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1833152876 + ... + 1833214026.

It is an arithmetic number, because the mean of its divisors is an integer number (3899519638560).

Almost surely, 2^{112101001212101} is an apocalyptic number.

112101001212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112101001212101 is a deficient number, since it is larger than the sum of its proper divisors (12683627221819).

112101001212101 is a wasteful number, since it uses less digits than its factorization.

112101001212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65837.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112101001212101 its reverse (101212100101211), we get a palindrome (213313101313312).

The spelling of 112101001212101 in words is "one hundred twelve trillion, one hundred one billion, one million, two hundred twelve thousand, one hundred one".