10500101205 has 32 divisors (see below), whose sum is σ = 18335168640. Its totient is φ = 5088814080.

The previous prime is 10500101177. The next prime is 10500101263. The reversal of 10500101205 is 50210100501.

It is not a de Polignac number, because 10500101205 - 2¹⁰ = 10500100181 is a prime.

It is a super-2 number, since 2×10500101205² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422361 + ... + 446529.

It is an arithmetic number, because the mean of its divisors is an integer number (572974020).

Almost surely, 2^10500101205 is an apocalyptic number.

10500101205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10500101205 is a deficient number, since it is larger than the sum of its proper divisors (7835067435).

10500101205 is a wasteful number, since it uses less digits than its factorization.

10500101205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26821.

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 10500101205 its reverse (50210100501), we get a palindrome (60710201706).

The spelling of 10500101205 in words is "ten billion, five hundred million, one hundred one thousand, two hundred five".