101001000110001 has 4 divisors (see below), whose sum is σ = 134668000146672. Its totient is φ = 67334000073332.

The previous prime is 101001000109957. The next prime is 101001000110039. The reversal of 101001000110001 is 100011000100101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101001000110001 - 2¹⁷ = 101000999978929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001000810001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16833500018331 + ... + 16833500018336.

It is an arithmetic number, because the mean of its divisors is an integer number (33667000036668).

Almost surely, 2^{101001000110001} is an apocalyptic number.

It is an amenable number.

101001000110001 is a deficient number, since it is larger than the sum of its proper divisors (33667000036671).

101001000110001 is an equidigital number, since it uses as much as digits as its factorization.

101001000110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33667000036670.

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

Adding to 101001000110001 its reverse (100011000100101), we get a palindrome (201012000210102).

The spelling of 101001000110001 in words is "one hundred one trillion, one billion, one hundred ten thousand, one".