1000100011001 has 8 divisors (see below), whose sum is σ = 1230892321344. Its totient is φ = 791287920720.

The previous prime is 1000100010997. The next prime is 1000100011081. The reversal of 1000100011001 is 1001100010001.

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 1000100011001 - 2² = 1000100010997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000100011081) 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, 5495054915 + ... + 5495055096.

It is an arithmetic number, because the mean of its divisors is an integer number (153861540168).

Almost surely, 2^{1000100011001} is an apocalyptic number.

It is an amenable number.

1000100011001 is a deficient number, since it is larger than the sum of its proper divisors (230792310343).

1000100011001 is a wasteful number, since it uses less digits than its factorization.

1000100011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990110031.

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

Adding to 1000100011001 its reverse (1001100010001), we get a palindrome (2001200021002).

It can be divided in two parts, 100010001 and 1001, that multiplied together give a palindrome (100110011001).

The spelling of 1000100011001 in words is "one trillion, one hundred million, eleven thousand, one".