100000110010101 has 32 divisors (see below), whose sum is σ = 153885664278528. Its totient is φ = 56578897033920.

The previous prime is 100000110010081. The next prime is 100000110010121. The reversal of 100000110010101 is 101010011000001.

It is an interprime number because it is at equal distance from previous prime (100000110010081) and next prime (100000110010121).

It is not a de Polignac number, because 100000110010101 - 2¹⁵ = 100000109977333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000110010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000110010121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9490995 + ... + 17031711.

It is an arithmetic number, because the mean of its divisors is an integer number (4808927008704).

Almost surely, 2^{100000110010101} is an apocalyptic number.

It is an amenable number.

100000110010101 is a deficient number, since it is larger than the sum of its proper divisors (53885554268427).

100000110010101 is a wasteful number, since it uses less digits than its factorization.

100000110010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546961.

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

Adding to 100000110010101 its reverse (101010011000001), we get a palindrome (201010121010102).

The spelling of 100000110010101 in words is "one hundred trillion, one hundred ten million, ten thousand, one hundred one".