10205400101 has 32 divisors (see below), whose sum is σ = 11856178656. Its totient is φ = 8699904000.

The previous prime is 10205400091. The next prime is 10205400103. The reversal of 10205400101 is 10100450201.

It can be written as a sum of positive squares in 16 ways, for example, as 682567876 + 9522832225 = 26126^2 + 97585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205400101 - 2²² = 10201205797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205400103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8640731 + ... + 8641911.

It is an arithmetic number, because the mean of its divisors is an integer number (370505583).

Almost surely, 2^10205400101 is an apocalyptic number.

It is an amenable number.

10205400101 is a deficient number, since it is larger than the sum of its proper divisors (1650778555).

10205400101 is a wasteful number, since it uses less digits than its factorization.

10205400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913.

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10205400101 its reverse (10100450201), we get a palindrome (20305850302).

The spelling of 10205400101 in words is "ten billion, two hundred five million, four hundred thousand, one hundred one".