100101100010001 has 4 divisors (see below), whose sum is σ = 133468133346672. Its totient is φ = 66734066673332.

The previous prime is 100101100009973. The next prime is 100101100010089. The reversal of 100101100010001 is 100010001101001.

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.

It is a cyclic number.

It is not a de Polignac number, because 100101100010001 - 2¹³ = 100101100001809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101100017001) 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, 16683516668331 + ... + 16683516668336.

It is an arithmetic number, because the mean of its divisors is an integer number (33367033336668).

Almost surely, 2^{100101100010001} is an apocalyptic number.

It is an amenable number.

100101100010001 is a deficient number, since it is larger than the sum of its proper divisors (33367033336671).

100101100010001 is an equidigital number, since it uses as much as digits as its factorization.

100101100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33367033336670.

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

Adding to 100101100010001 its reverse (100010001101001), we get a palindrome (200111101111002).

The spelling of 100101100010001 in words is "one hundred trillion, one hundred one billion, one hundred million, ten thousand, one".