100100110001001 has 64 divisors (see below), whose sum is σ = 154148525245440. Its totient is φ = 57203344800000.

The previous prime is 100100110000997. The next prime is 100100110001041. The reversal of 100100110001001 is 100100011001001.

It is not a de Polignac number, because 100100110001001 - 2² = 100100110000997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100110001041) 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, 259099426 + ... + 259485476.

It is an arithmetic number, because the mean of its divisors is an integer number (2408570706960).

Almost surely, 2^{100100110001001} is an apocalyptic number.

100100110001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100110001001 is a deficient number, since it is larger than the sum of its proper divisors (54048415244439).

100100110001001 is a wasteful number, since it uses less digits than its factorization.

100100110001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392438.

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

Adding to 100100110001001 its reverse (100100011001001), we get a palindrome (200200121002002).

The spelling of 100100110001001 in words is "one hundred trillion, one hundred billion, one hundred ten million, one thousand, one".