100106101001 has 4 divisors (see below), whose sum is σ = 100242672132. Its totient is φ = 99969529872.

The previous prime is 100106100967. The next prime is 100106101033. The reversal of 100106101001 is 100101601001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 96907067401 + 3199033600 = 311299^2 + 56560^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106101001 - 2³⁰ = 99032359177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100106100001) 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, 68284466 + ... + 68285931.

It is an arithmetic number, because the mean of its divisors is an integer number (25060668033).

Almost surely, 2^100106101001 is an apocalyptic number.

It is an amenable number.

100106101001 is a deficient number, since it is larger than the sum of its proper divisors (136571131).

100106101001 is an equidigital number, since it uses as much as digits as its factorization.

100106101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136571130.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100106101001 its reverse (100101601001), we get a palindrome (200207702002).

The spelling of 100106101001 in words is "one hundred billion, one hundred six million, one hundred one thousand, one".