168541012101 has 32 divisors (see below), whose sum is σ = 280197163008. Its totient is φ = 87545931840.

The previous prime is 168541012091. The next prime is 168541012117. The reversal of 168541012101 is 101210145861.

168541012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 168541012101 - 2⁵ = 168541012069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168541012151) 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 31 ways as a sum of consecutive naturals, for example, 3276160 + ... + 3327206.

It is an arithmetic number, because the mean of its divisors is an integer number (8756161344).

Almost surely, 2^168541012101 is an apocalyptic number.

168541012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

168541012101 is a deficient number, since it is larger than the sum of its proper divisors (111656150907).

168541012101 is a wasteful number, since it uses less digits than its factorization.

168541012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65361.

The product of its (nonzero) digits is 1920, while the sum is 30.

Adding to 168541012101 its reverse (101210145861), we get a palindrome (269751157962).

The spelling of 168541012101 in words is "one hundred sixty-eight billion, five hundred forty-one million, twelve thousand, one hundred one".