100101000100101 has 256 divisors, whose sum is σ = 192079972761600. Its totient is φ = 44646040857600.

The previous prime is 100101000100081. The next prime is 100101000100117. The reversal of 100101000100101 is 101001000101001.

It is not a de Polignac number, because 100101000100101 - 2¹¹ = 100101000098053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101000100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101000100201) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1903794630 + ... + 1903847208.

It is an arithmetic number, because the mean of its divisors is an integer number (750312393600).

Almost surely, 2^{100101000100101} is an apocalyptic number.

100101000100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101000100101 is a deficient number, since it is larger than the sum of its proper divisors (91978972661499).

100101000100101 is a wasteful number, since it uses less digits than its factorization.

100101000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53240.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100101000100101 its reverse (101001000101001), we get a palindrome (201102000201102).

The spelling of 100101000100101 in words is "one hundred trillion, one hundred one billion, one hundred thousand, one hundred one".