101110101101001 has 6 divisors (see below), whose sum is σ = 146047923812570. Its totient is φ = 67406734067328.

The previous prime is 101110101100969. The next prime is 101110101101017. The reversal of 101110101101001 is 100101101011101.

It can be written as a sum of positive squares in only one way, i.e., 93598659129600 + 7511441971401 = 9674640^2 + 2740701^2 .

It is not a de Polignac number, because 101110101101001 - 2⁵ = 101110101100969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11234455677889 = 101110101101001 / (1 + 0 + 1 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110101101501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617227838936 + ... + 5617227838953.

Almost surely, 2^{101110101101001} is an apocalyptic number.

It is an amenable number.

101110101101001 is a deficient number, since it is larger than the sum of its proper divisors (44937822711569).

101110101101001 is a wasteful number, since it uses less digits than its factorization.

101110101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234455677895 (or 11234455677892 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110101101001 its reverse (100101101011101), we get a palindrome (201211202112102).

The spelling of 101110101101001 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one hundred one thousand, one".