101110001000101 has 8 divisors (see below), whose sum is σ = 107059814719704. Its totient is φ = 95160428014080.

The previous prime is 101110001000087. The next prime is 101110001000117. The reversal of 101110001000101 is 101000100011101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49613216632225 + 51496784367876 = 7043665^2 + 7176126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101110001000101 - 2¹⁵ = 101110000967333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110001000501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59318310 + ... + 60999031.

It is an arithmetic number, because the mean of its divisors is an integer number (13382476839963).

Almost surely, 2^{101110001000101} is an apocalyptic number.

It is an amenable number.

101110001000101 is a deficient number, since it is larger than the sum of its proper divisors (5949813719603).

101110001000101 is a wasteful number, since it uses less digits than its factorization.

101110001000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120366791.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101110001000101 its reverse (101000100011101), we get a palindrome (202110101011202).

It can be divided in two parts, 10 and 1110001000101, that added together give a palindrome (1110001000111).

The spelling of 101110001000101 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred one", and thus it is an aban number.