101001100000001 has 4 divisors (see below), whose sum is σ = 101001180110592. Its totient is φ = 101001019889412.

The previous prime is 101001099999979. The next prime is 101001100000019. The reversal of 101001100000001 is 100000001100101.

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 101001100000001 - 2⁶ = 101001099999937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001100000201) 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, 38133401 + ... + 40695926.

It is an arithmetic number, because the mean of its divisors is an integer number (25250295027648).

Almost surely, 2^{101001100000001} is an apocalyptic number.

It is an amenable number.

101001100000001 is a deficient number, since it is larger than the sum of its proper divisors (80110591).

101001100000001 is an equidigital number, since it uses as much as digits as its factorization.

101001100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80110590.

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

Adding to 101001100000001 its reverse (100000001100101), we get a palindrome (201001101100102).

The spelling of 101001100000001 in words is "one hundred one trillion, one billion, one hundred million, one", and thus it is an aban number.