2100121585733 has 2 divisors, whose sum is σ = 2100121585734. Its totient is φ = 2100121585732.

The previous prime is 2100121585729. The next prime is 2100121585763. The reversal of 2100121585733 is 3375851210012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1509118885444 + 591002700289 = 1228462^2 + 768767^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100121585733 - 2² = 2100121585729 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100121585763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050060792866 + 1050060792867.

It is an arithmetic number, because the mean of its divisors is an integer number (1050060792867).

Almost surely, 2^{2100121585733} is an apocalyptic number.

It is an amenable number.

2100121585733 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100121585733 is an equidigital number, since it uses as much as digits as its factorization.

2100121585733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50400, while the sum is 38.

Adding to 2100121585733 its reverse (3375851210012), we get a palindrome (5475972795745).

The spelling of 2100121585733 in words is "two trillion, one hundred billion, one hundred twenty-one million, five hundred eighty-five thousand, seven hundred thirty-three".