2112100211001 has 32 divisors (see below), whose sum is σ = 3172024958976. Its totient is φ = 1238464656000.

The previous prime is 2112100210921. The next prime is 2112100211027. The reversal of 2112100211001 is 1001120012112.

It is not a de Polignac number, because 2112100211001 - 2¹³ = 2112100202809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112100211071) 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, 3954445 + ... + 4456661.

It is an arithmetic number, because the mean of its divisors is an integer number (99125779968).

Almost surely, 2^{2112100211001} is an apocalyptic number.

It is an amenable number.

2112100211001 is a deficient number, since it is larger than the sum of its proper divisors (1059924747975).

2112100211001 is a wasteful number, since it uses less digits than its factorization.

2112100211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506373.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112100211001 its reverse (1001120012112), we get a palindrome (3113220223113).

The spelling of 2112100211001 in words is "two trillion, one hundred twelve billion, one hundred million, two hundred eleven thousand, one".