100101011011001 has 64 divisors (see below), whose sum is σ = 142321663443456. Its totient is φ = 67758559948800.

The previous prime is 100101011010941. The next prime is 100101011011007. The reversal of 100101011011001 is 100110110101001.

It is not a de Polignac number, because 100101011011001 - 2³⁰ = 100099937269177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101011011001.

It is not an unprimeable number, because it can be changed into a prime (100101011011007) 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, 171461171 + ... + 172043991.

It is an arithmetic number, because the mean of its divisors is an integer number (2223775991304).

Almost surely, 2^{100101011011001} is an apocalyptic number.

100101011011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101011011001 is a deficient number, since it is larger than the sum of its proper divisors (42220652432455).

100101011011001 is a wasteful number, since it uses less digits than its factorization.

100101011011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592962.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101011011001 its reverse (100110110101001), we get a palindrome (200211121112002).

The spelling of 100101011011001 in words is "one hundred trillion, one hundred one billion, eleven million, eleven thousand, one".