101100110000001 has 16 divisors (see below), whose sum is σ = 154601682607104. Its totient is φ = 57567351879504.

The previous prime is 101100109999961. The next prime is 101100110000089. The reversal of 101100110000001 is 100000011001101.

It is not a de Polignac number, because 101100110000001 - 2⁹ = 101100109999489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100110000801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8505808461 + ... + 8505820346.

It is an arithmetic number, because the mean of its divisors is an integer number (9662605162944).

Almost surely, 2^{101100110000001} is an apocalyptic number.

It is an amenable number.

101100110000001 is a deficient number, since it is larger than the sum of its proper divisors (53501572607103).

101100110000001 is a wasteful number, since it uses less digits than its factorization.

101100110000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17011629100.

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

Adding to 101100110000001 its reverse (100000011001101), we get a palindrome (201100121001102).

The spelling of 101100110000001 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one", and thus it is an aban number.