10106101100500 has 24 divisors (see below), whose sum is σ = 22071724804584. Its totient is φ = 4042440440000.

The previous prime is 10106101100453. The next prime is 10106101100531. The reversal of 10106101100500 is 500110160101.

It can be written as a sum of positive squares in 4 ways, for example, as 196725957444 + 9909375143056 = 443538^2 + 3147916^2 .

It is a super-2 number, since 2×10106101100500² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10106100601 + ... + 10106101600.

It is an arithmetic number, because the mean of its divisors is an integer number (919655200191).

Almost surely, 2^{10106101100500} is an apocalyptic number.

10106101100500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106101100500 is an abundant number, since it is smaller than the sum of its proper divisors (11965623704084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10106101100500 is a wasteful number, since it uses less digits than its factorization.

10106101100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212202220 (or 20212202208 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10106101100500 its reverse (500110160101), we get a palindrome (10606211260601).

The spelling of 10106101100500 in words is "ten trillion, one hundred six billion, one hundred one million, one hundred thousand, five hundred".