2110001112101 has 32 divisors (see below), whose sum is σ = 2256866426880. Its totient is φ = 1968060250816.

The previous prime is 2110001112059. The next prime is 2110001112103. The reversal of 2110001112101 is 1012111000112.

It is not a de Polignac number, because 2110001112101 - 2¹⁰ = 2110001111077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110001112103) 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, 355995200 + ... + 356001126.

It is an arithmetic number, because the mean of its divisors is an integer number (70527075840).

Almost surely, 2^{2110001112101} is an apocalyptic number.

It is an amenable number.

2110001112101 is a deficient number, since it is larger than the sum of its proper divisors (146865314779).

2110001112101 is a wasteful number, since it uses less digits than its factorization.

2110001112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2110001112101 its reverse (1012111000112), we get a palindrome (3122112112213).

The spelling of 2110001112101 in words is "two trillion, one hundred ten billion, one million, one hundred twelve thousand, one hundred one".