2101100775201 has 24 divisors (see below), whose sum is σ = 3168917743680. Its totient is φ = 1339793107296.

The previous prime is 2101100775167. The next prime is 2101100775203. The reversal of 2101100775201 is 1025770011012.

2101100775201 is a `hidden beast` number, since 21 + 0 + 110 + 0 + 7 + 7 + 520 + 1 = 666.

It is not a de Polignac number, because 2101100775201 - 2²³ = 2101092386593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101100775203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37589805 + ... + 37645658.

It is an arithmetic number, because the mean of its divisors is an integer number (132038239320).

Almost surely, 2^{2101100775201} is an apocalyptic number.

It is an amenable number.

2101100775201 is a deficient number, since it is larger than the sum of its proper divisors (1067816968479).

2101100775201 is a wasteful number, since it uses less digits than its factorization.

2101100775201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75235605 (or 75235602 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

Adding to 2101100775201 its reverse (1025770011012), we get a palindrome (3126870786213).

The spelling of 2101100775201 in words is "two trillion, one hundred one billion, one hundred million, seven hundred seventy-five thousand, two hundred one".