100000001011001 has 8 divisors (see below), whose sum is σ = 123076924321344. Its totient is φ = 79120879920720.

The previous prime is 100000001010983. The next prime is 100000001011049. The reversal of 100000001011001 is 100110100000001.

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 100000001011001 - 2¹⁰ = 100000001009977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100000001011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549450554915 + ... + 549450555096.

It is an arithmetic number, because the mean of its divisors is an integer number (15384615540168).

Almost surely, 2^{100000001011001} is an apocalyptic number.

It is an amenable number.

100000001011001 is a deficient number, since it is larger than the sum of its proper divisors (23076923310343).

100000001011001 is a wasteful number, since it uses less digits than its factorization.

100000001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098901110031.

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

Adding to 100000001011001 its reverse (100110100000001), we get a palindrome (200110101011002).

The spelling of 100000001011001 in words is "one hundred trillion, one million, eleven thousand, one".