10100101110016 has 36 divisors (see below), whose sum is σ = 20541140212572. Its totient is φ = 4954766575616.

The previous prime is 10100101109999. The next prime is 10100101110017. The reversal of 10100101110016 is 61001110100101.

It can be written as a sum of positive squares in 2 ways, for example, as 4399925760000 + 5700175350016 = 2097600^2 + 2387504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100101109978 and 10100101110005.

It is not an unprimeable number, because it can be changed into a prime (10100101110017) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 372189451 + ... + 372216586.

It is an arithmetic number, because the mean of its divisors is an integer number (570587228127).

Almost surely, 2^{10100101110016} is an apocalyptic number.

10100101110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10100101110016 is an abundant number, since it is smaller than the sum of its proper divisors (10441039102556).

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

10100101110016 is an frugal number, since it uses more digits than its factorization.

10100101110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744406106 (or 744406092 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10100101110016 its reverse (61001110100101), we get a palindrome (71101211210117).

The spelling of 10100101110016 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, sixteen".