100000101001 has 8 divisors (see below), whose sum is σ = 101005429824. Its totient is φ = 98995434960.

The previous prime is 100000100983. The next prime is 100000101013. The reversal of 100000101001 is 100101000001.

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

It is a cyclic number.

It is not a de Polignac number, because 100000101001 - 2¹¹ = 100000098953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000101601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140406 + ... + 468736.

It is an arithmetic number, because the mean of its divisors is an integer number (12625678728).

Almost surely, 2^100000101001 is an apocalyptic number.

It is an amenable number.

100000101001 is a deficient number, since it is larger than the sum of its proper divisors (1005328823).

100000101001 is a wasteful number, since it uses less digits than its factorization.

100000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331391.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000101001 its reverse (100101000001), we get a palindrome (200101101002).

The spelling of 100000101001 in words is "one hundred billion, one hundred one thousand, one".