110010010000101 has 32 divisors (see below), whose sum is σ = 147477088661760. Its totient is φ = 72942172545024.

The previous prime is 110010010000043. The next prime is 110010010000123. The reversal of 110010010000101 is 101000010010011.

It is not a de Polignac number, because 110010010000101 - 2¹⁰ = 110010009999077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010010000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010010000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8742742656 + ... + 8742755238.

It is an arithmetic number, because the mean of its divisors is an integer number (4608659020680).

Almost surely, 2^{110010010000101} is an apocalyptic number.

It is an amenable number.

110010010000101 is a deficient number, since it is larger than the sum of its proper divisors (37467078661659).

110010010000101 is a wasteful number, since it uses less digits than its factorization.

110010010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25325.

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

Adding to 110010010000101 its reverse (101000010010011), we get a palindrome (211010020010112).

The spelling of 110010010000101 in words is "one hundred ten trillion, ten billion, ten million, one hundred one", and thus it is an aban number.