10205047101 has 16 divisors (see below), whose sum is σ = 13715928000. Its totient is φ = 6748885248.

The previous prime is 10205047091. The next prime is 10205047109. The reversal of 10205047101 is 10174050201.

It is a happy number.

It is not a de Polignac number, because 10205047101 - 2⁶ = 10205047037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205047109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337285 + ... + 366293.

It is an arithmetic number, because the mean of its divisors is an integer number (857245500).

Almost surely, 2^10205047101 is an apocalyptic number.

It is an amenable number.

10205047101 is a deficient number, since it is larger than the sum of its proper divisors (3510880899).

10205047101 is a wasteful number, since it uses less digits than its factorization.

10205047101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29948.

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 10205047101 its reverse (10174050201), we get a palindrome (20379097302).

The spelling of 10205047101 in words is "ten billion, two hundred five million, forty-seven thousand, one hundred one".