2112100212011 has 8 divisors (see below), whose sum is σ = 2113431774048. Its totient is φ = 2110768848000.

The previous prime is 2112100211989. The next prime is 2112100212017. The reversal of 2112100212011 is 1102120012112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112100212011 is a prime.

It is a super-2 number, since 2×2112100212011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112100212017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25301201 + ... + 25384541.

It is an arithmetic number, because the mean of its divisors is an integer number (264178971756).

Almost surely, 2^{2112100212011} is an apocalyptic number.

2112100212011 is a deficient number, since it is larger than the sum of its proper divisors (1331562037).

2112100212011 is a wasteful number, since it uses less digits than its factorization.

2112100212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99013.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2112100212011 its reverse (1102120012112), we get a palindrome (3214220224123).

The spelling of 2112100212011 in words is "two trillion, one hundred twelve billion, one hundred million, two hundred twelve thousand, eleven".