101100610000601 has 8 divisors (see below), whose sum is σ = 101265059675520. Its totient is φ = 100936185601888.

The previous prime is 101100610000597. The next prime is 101100610000673. The reversal of 101100610000601 is 106000016001101.

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 101100610000601 - 2² = 101100610000597 is a prime.

It is a super-2 number, since 2×101100610000601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100610000601.

It is not an unprimeable number, because it can be changed into a prime (101100610020601) 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, 1695380 + ... + 14320458.

It is an arithmetic number, because the mean of its divisors is an integer number (12658132459440).

Almost surely, 2^{101100610000601} is an apocalyptic number.

It is an amenable number.

101100610000601 is a deficient number, since it is larger than the sum of its proper divisors (164449674919).

101100610000601 is a wasteful number, since it uses less digits than its factorization.

101100610000601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638103.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101100610000601 its reverse (106000016001101), we get a palindrome (207100626001702).

The spelling of 101100610000601 in words is "one hundred one trillion, one hundred billion, six hundred ten million, six hundred one", and thus it is an aban number.