100010011001001 has 8 divisors (see below), whose sum is σ = 133928981254080. Its totient is φ = 66382190707632.

The previous prime is 100010011000993. The next prime is 100010011001119. The reversal of 100010011001001 is 100100110010001.

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

It is not a de Polignac number, because 100010011001001 - 2³ = 100010011000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010011041001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72787489125 + ... + 72787490498.

It is an arithmetic number, because the mean of its divisors is an integer number (16741122656760).

Almost surely, 2^{100010011001001} is an apocalyptic number.

It is an amenable number.

100010011001001 is a deficient number, since it is larger than the sum of its proper divisors (33918970253079).

100010011001001 is a wasteful number, since it uses less digits than its factorization.

100010011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145574979855.

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

Adding to 100010011001001 its reverse (100100110010001), we get a palindrome (200110121011002).

The spelling of 100010011001001 in words is "one hundred trillion, ten billion, eleven million, one thousand, one".