101065656160010 has 48 divisors (see below), whose sum is σ = 185843835199800. Its totient is φ = 39561682218240.

The previous prime is 101065656159997. The next prime is 101065656160037. The reversal of 101065656160010 is 10061656560101.

It can be written as a sum of positive squares in 12 ways, for example, as 14184857505841 + 86880798654169 = 3766279^2 + 9320987^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21538916 + ... + 25808064.

Almost surely, 2^{101065656160010} is an apocalyptic number.

101065656160010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101065656160010 is a deficient number, since it is larger than the sum of its proper divisors (84778179039790).

101065656160010 is an equidigital number, since it uses as much as digits as its factorization.

101065656160010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269611 (or 4269414 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 101065656160010 in words is "one hundred one trillion, sixty-five billion, six hundred fifty-six million, one hundred sixty thousand, ten".