101000010110001 has 8 divisors (see below), whose sum is σ = 138306320150784. Its totient is φ = 65513520071280.

The previous prime is 101000010109987. The next prime is 101000010110009. The reversal of 101000010110001 is 100011010000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101000010110001 - 2⁵ = 101000010109969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000010110009) 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, 454955000385 + ... + 454955000606.

It is an arithmetic number, because the mean of its divisors is an integer number (17288290018848).

Almost surely, 2^{101000010110001} is an apocalyptic number.

It is an amenable number.

101000010110001 is a deficient number, since it is larger than the sum of its proper divisors (37306310040783).

101000010110001 is an equidigital number, since it uses as much as digits as its factorization.

101000010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909910001031.

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

Adding to 101000010110001 its reverse (100011010000101), we get a palindrome (201011020110102).

It can be divided in two parts, 1010000101 and 10001, that multiplied together give a palindrome (10101011010101).

The spelling of 101000010110001 in words is "one hundred one trillion, ten million, one hundred ten thousand, one".