2112100010111 has 32 divisors (see below), whose sum is σ = 2702607465600. Its totient is φ = 1639581495552.

The previous prime is 2112100010087. The next prime is 2112100010143. The reversal of 2112100010111 is 1110100012112.

It is a de Polignac number, because none of the positive numbers 2^k-2112100010111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112100010092 and 2112100010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100010611) 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, 4232270 + ... + 4704923.

It is an arithmetic number, because the mean of its divisors is an integer number (84456483300).

Almost surely, 2^{2112100010111} is an apocalyptic number.

2112100010111 is a deficient number, since it is larger than the sum of its proper divisors (590507455489).

2112100010111 is an equidigital number, since it uses as much as digits as its factorization.

2112100010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937280 (or 8937266 counting only the distinct ones).

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

Adding to 2112100010111 its reverse (1110100012112), we get a palindrome (3222200022223).

The spelling of 2112100010111 in words is "two trillion, one hundred twelve billion, one hundred million, ten thousand, one hundred eleven".