100110001010001 has 32 divisors (see below), whose sum is σ = 146668322448000. Its totient is φ = 60510020820480.

The previous prime is 100110001009951. The next prime is 100110001010003. The reversal of 100110001010001 is 100010100011001.

It is not a de Polignac number, because 100110001010001 - 2¹³ = 100110001001809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110001010003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388953276 + ... + 389210573.

It is an arithmetic number, because the mean of its divisors is an integer number (4583385076500).

Almost surely, 2^{100110001010001} is an apocalyptic number.

It is an amenable number.

100110001010001 is a deficient number, since it is larger than the sum of its proper divisors (46558321437999).

100110001010001 is a wasteful number, since it uses less digits than its factorization.

100110001010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778163969.

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

Adding to 100110001010001 its reverse (100010100011001), we get a palindrome (200120101021002).

It can be divided in two parts, 1001 and 10001010001, that multiplied together give a palindrome (10011011011001).

The spelling of 100110001010001 in words is "one hundred trillion, one hundred ten billion, one million, ten thousand, one".