100100010101001 has 8 divisors (see below), whose sum is σ = 133502840181984. Its totient is φ = 66715260043680.

The previous prime is 100100010100933. The next prime is 100100010101009. The reversal of 100100010101001 is 100101010001001.

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

It is not a de Polignac number, because 100100010101001 - 2¹⁰ = 100100010099977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100010101009) 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, 4519992996 + ... + 4520015141.

It is an arithmetic number, because the mean of its divisors is an integer number (16687855022748).

Almost surely, 2^{100100010101001} is an apocalyptic number.

It is an amenable number.

100100010101001 is a deficient number, since it is larger than the sum of its proper divisors (33402830080983).

100100010101001 is an equidigital number, since it uses as much as digits as its factorization.

100100010101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040011831.

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

Adding to 100100010101001 its reverse (100101010001001), we get a palindrome (200201020102002).

The spelling of 100100010101001 in words is "one hundred trillion, one hundred billion, ten million, one hundred one thousand, one".