101000110100001 has 32 divisors (see below), whose sum is σ = 157245590200320. Its totient is φ = 56467667515584.

The previous prime is 101000110099943. The next prime is 101000110100051. The reversal of 101000110100001 is 100001011000101.

It is not a de Polignac number, because 101000110100001 - 2¹⁸ = 101000109837857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000110100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125987385 + ... + 126786518.

It is an arithmetic number, because the mean of its divisors is an integer number (4913924693760).

Almost surely, 2^{101000110100001} is an apocalyptic number.

It is an amenable number.

101000110100001 is a deficient number, since it is larger than the sum of its proper divisors (56245480100319).

101000110100001 is a wasteful number, since it uses less digits than its factorization.

101000110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252774325.

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

Adding to 101000110100001 its reverse (100001011000101), we get a palindrome (201001121100102).

The spelling of 101000110100001 in words is "one hundred one trillion, one hundred ten million, one hundred thousand, one".