100101010001 has 4 divisors (see below), whose sum is σ = 100106780004. Its totient is φ = 100095240000.

The previous prime is 100101009973. The next prime is 100101010013. The reversal of 100101010001 is 100010101001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100010101001 = 237043 ⋅421907.

It can be written as a sum of positive squares in 2 ways, for example, as 21251808400 + 78849201601 = 145780^2 + 280801^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101010001 - 2²⁶ = 100033901137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2858900 + ... + 2893701.

It is an arithmetic number, because the mean of its divisors is an integer number (25026695001).

Almost surely, 2^100101010001 is an apocalyptic number.

It is an amenable number.

100101010001 is a deficient number, since it is larger than the sum of its proper divisors (5770003).

100101010001 is an equidigital number, since it uses as much as digits as its factorization.

100101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770002.

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

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

It can be divided in two parts, 10010101000 and 1, that added together give a palindrome (10010101001).

The spelling of 100101010001 in words is "one hundred billion, one hundred one million, ten thousand, one".