100460001001 has 8 divisors (see below), whose sum is σ = 102556591560. Its totient is φ = 98370859392.

The previous prime is 100460000989. The next prime is 100460001029. The reversal of 100460001001 is 100100064001.

It can be written as a sum of positive squares in 4 ways, for example, as 11061990976 + 89398010025 = 105176^2 + 298995^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100460001001 - 2²¹ = 100457903849 is a prime.

It is a super-2 number, since 2×100460001001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100460001071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1834980 + ... + 1888933.

It is an arithmetic number, because the mean of its divisors is an integer number (12819573945).

Almost surely, 2^100460001001 is an apocalyptic number.

It is an amenable number.

100460001001 is a deficient number, since it is larger than the sum of its proper divisors (2096590559).

100460001001 is an equidigital number, since it uses as much as digits as its factorization.

100460001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724475.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100460001001 its reverse (100100064001), we get a palindrome (200560065002).

The spelling of 100460001001 in words is "one hundred billion, four hundred sixty million, one thousand, one".