101110110001 has 8 divisors (see below), whose sum is σ = 103467681504. Its totient is φ = 98752819200.

The previous prime is 101110109987. The next prime is 101110110037. The reversal of 101110110001 is 100011011101.

It is a happy number.

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 101110110001 - 2³³ = 92520175409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776226 + ... + 897076.

It is an arithmetic number, because the mean of its divisors is an integer number (12933460188).

Almost surely, 2^101110110001 is an apocalyptic number.

It is an amenable number.

101110110001 is a deficient number, since it is larger than the sum of its proper divisors (2357571503).

101110110001 is a wasteful number, since it uses less digits than its factorization.

101110110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140351.

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

Adding to 101110110001 its reverse (100011011101), we get a palindrome (201121121102).

It can be divided in two parts, 1011101 and 10001, that multiplied together give a palindrome (10112021101).

The spelling of 101110110001 in words is "one hundred one billion, one hundred ten million, one hundred ten thousand, one".