101110010000001 has 128 divisors (see below), whose sum is σ = 144035782405632. Its totient is φ = 63012225024000.

The previous prime is 101110009999979. The next prime is 101110010000011. The reversal of 101110010000001 is 100000010011101.

It is not a de Polignac number, because 101110010000001 - 2¹⁵ = 101110009967233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110010000011) 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 127 ways as a sum of consecutive naturals, for example, 33248933041 + ... + 33248936081.

It is an arithmetic number, because the mean of its divisors is an integer number (1125279550044).

Almost surely, 2^{101110010000001} is an apocalyptic number.

It is an amenable number.

101110010000001 is a deficient number, since it is larger than the sum of its proper divisors (42925772405631).

101110010000001 is a wasteful number, since it uses less digits than its factorization.

101110010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843.

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

Adding to 101110010000001 its reverse (100000010011101), we get a palindrome (201110020011102).

The spelling of 101110010000001 in words is "one hundred one trillion, one hundred ten billion, ten million, one", and thus it is an aban number.