2112101002191 has 16 divisors (see below), whose sum is σ = 2981856858624. Its totient is φ = 1325209974144.

The previous prime is 2112101002171. The next prime is 2112101002199. The reversal of 2112101002191 is 1912001012112.

It is not a de Polignac number, because 2112101002191 - 2⁹ = 2112101001679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112101002199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938480 + ... + 2825226.

It is an arithmetic number, because the mean of its divisors is an integer number (186366053664).

Almost surely, 2^{2112101002191} is an apocalyptic number.

2112101002191 is a deficient number, since it is larger than the sum of its proper divisors (869755856433).

2112101002191 is a wasteful number, since it uses less digits than its factorization.

2112101002191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933470.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 2112101002191 in words is "two trillion, one hundred twelve billion, one hundred one million, two thousand, one hundred ninety-one".