10500100605101 has 4 divisors (see below), whose sum is σ = 10500163941600. Its totient is φ = 10500037268604.

The previous prime is 10500100605083. The next prime is 10500100605149. The reversal of 10500100605101 is 10150600100501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10500100605101 - 2¹⁴ = 10500100588717 is a prime.

It is a super-2 number, since 2×10500100605101² (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 (10500106605101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31418921 + ... + 31751358.

It is an arithmetic number, because the mean of its divisors is an integer number (2625040985400).

Almost surely, 2^{10500100605101} is an apocalyptic number.

It is an amenable number.

10500100605101 is a deficient number, since it is larger than the sum of its proper divisors (63336499).

10500100605101 is an equidigital number, since it uses as much as digits as its factorization.

10500100605101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63336498.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10500100605101 its reverse (10150600100501), we get a palindrome (20650700705602).

The spelling of 10500100605101 in words is "ten trillion, five hundred billion, one hundred million, six hundred five thousand, one hundred one".