2100724105267 has 12 divisors (see below), whose sum is σ = 2239059312576. Its totient is φ = 1970455093200.

The previous prime is 2100724105223. The next prime is 2100724105313. The reversal of 2100724105267 is 7625014270012.

It is a de Polignac number, because none of the positive numbers 2^k-2100724105267 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100724105567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28771363 + ... + 28844284.

It is an arithmetic number, because the mean of its divisors is an integer number (186588276048).

Almost surely, 2^{2100724105267} is an apocalyptic number.

2100724105267 is a deficient number, since it is larger than the sum of its proper divisors (138335207309).

2100724105267 is a wasteful number, since it uses less digits than its factorization.

2100724105267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57615786 (or 57615767 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

Adding to 2100724105267 its reverse (7625014270012), we get a palindrome (9725738375279).

The spelling of 2100724105267 in words is "two trillion, one hundred billion, seven hundred twenty-four million, one hundred five thousand, two hundred sixty-seven".