100010001001001 has 64 divisors (see below), whose sum is σ = 136060208234496. Its totient is φ = 71202667852800.

The previous prime is 100010001000979. The next prime is 100010001001003. The reversal of 100010001001001 is 100100100010001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010001001001 is a prime.

100010001001001 is a modest number, since divided by 1001001 gives 100010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100010001001003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75163616 + ... + 76482606.

It is an arithmetic number, because the mean of its divisors is an integer number (2125940753664).

Almost surely, 2^{100010001001001} is an apocalyptic number.

It is an amenable number.

100010001001001 is a deficient number, since it is larger than the sum of its proper divisors (36050207233495).

100010001001001 is a wasteful number, since it uses less digits than its factorization.

100010001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321182.

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

Adding to 100010001001001 its reverse (100100100010001), we get a palindrome (200110101011002).

The spelling of 100010001001001 in words is "one hundred trillion, ten billion, one million, one thousand, one".