10205206253621 has 64 divisors (see below), whose sum is σ = 11415849903360. Its totient is φ = 9081160335360.

The previous prime is 10205206253597. The next prime is 10205206253633. The reversal of 10205206253621 is 12635260250201.

It is not a de Polignac number, because 10205206253621 - 2¹⁰ = 10205206252597 is a prime.

It is a super-2 number, since 2×10205206253621² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205206256621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4899281846 + ... + 4899283928.

It is an arithmetic number, because the mean of its divisors is an integer number (178372654740).

Almost surely, 2^{10205206253621} is an apocalyptic number.

It is an amenable number.

10205206253621 is a deficient number, since it is larger than the sum of its proper divisors (1210643649739).

10205206253621 is a wasteful number, since it uses less digits than its factorization.

10205206253621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 10205206253621 in words is "ten trillion, two hundred five billion, two hundred six million, two hundred fifty-three thousand, six hundred twenty-one".