112100201010001 has 16 divisors (see below), whose sum is σ = 113699258064000. Its totient is φ = 110512924185600.

The previous prime is 112100201009999. The next prime is 112100201010029. The reversal of 112100201010001 is 100010102001211.

It is a cyclic number.

It is not a de Polignac number, because 112100201010001 - 2¹ = 112100201009999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112100201010001.

It is not an unprimeable number, because it can be changed into a prime (112100201010041) 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 15 ways as a sum of consecutive naturals, for example, 66918321 + ... + 68573041.

It is an arithmetic number, because the mean of its divisors is an integer number (7106203629000).

Almost surely, 2^{112100201010001} is an apocalyptic number.

It is an amenable number.

112100201010001 is a deficient number, since it is larger than the sum of its proper divisors (1599057053999).

112100201010001 is a wasteful number, since it uses less digits than its factorization.

112100201010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658280.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112100201010001 its reverse (100010102001211), we get a palindrome (212110303011212).

The spelling of 112100201010001 in words is "one hundred twelve trillion, one hundred billion, two hundred one million, ten thousand, one".