100010101001 has 4 divisors (see below), whose sum is σ = 100010759952. Its totient is φ = 100009442052.

The previous prime is 100010100977. The next prime is 100010101027. The reversal of 100010101001 is 100101010001.

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, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 100101010001 = 17401 ⋅5752601.

It is a cyclic number.

It is not a de Polignac number, because 100010101001 - 2¹⁴ = 100010084617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26090 + ... + 447996.

It is an arithmetic number, because the mean of its divisors is an integer number (25002689988).

Almost surely, 2^100010101001 is an apocalyptic number.

It is an amenable number.

100010101001 is a deficient number, since it is larger than the sum of its proper divisors (658951).

100010101001 is an equidigital number, since it uses as much as digits as its factorization.

100010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658950.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010101001 its reverse (100101010001), we get a palindrome (200111111002).

The spelling of 100010101001 in words is "one hundred billion, ten million, one hundred one thousand, one".