112101011012001 has 32 divisors (see below), whose sum is σ = 172648365746688. Its totient is φ = 63943232221440.

The previous prime is 112101011011981. The next prime is 112101011012077. The reversal of 112101011012001 is 100210110101211.

112101011012001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 112101011012001 - 2³⁷ = 111963572058529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112101011017001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176961510 + ... + 177593856.

It is an arithmetic number, because the mean of its divisors is an integer number (5395261429584).

Almost surely, 2^{112101011012001} is an apocalyptic number.

112101011012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112101011012001 is a deficient number, since it is larger than the sum of its proper divisors (60547354734687).

112101011012001 is a wasteful number, since it uses less digits than its factorization.

112101011012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948381.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112101011012001 its reverse (100210110101211), we get a palindrome (212311121113212).

The spelling of 112101011012001 in words is "one hundred twelve trillion, one hundred one billion, eleven million, twelve thousand, one".