100101001100001 has 32 divisors (see below), whose sum is σ = 154183213656576. Its totient is φ = 57092326560000.

The previous prime is 100101001099993. The next prime is 100101001100047. The reversal of 100101001100001 is 100001100101001.

It is not a de Polignac number, because 100101001100001 - 2³ = 100101001099993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101005100001) 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 31 ways as a sum of consecutive naturals, for example, 4713675 + ... + 14913776.

It is an arithmetic number, because the mean of its divisors is an integer number (4818225426768).

Almost surely, 2^{100101001100001} is an apocalyptic number.

100101001100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101001100001 is a deficient number, since it is larger than the sum of its proper divisors (54082212556575).

100101001100001 is a wasteful number, since it uses less digits than its factorization.

100101001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19636573.

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

Adding to 100101001100001 its reverse (100001100101001), we get a palindrome (200102101201002).

It can be divided in two parts, 100101001 and 100001, that multiplied together give a palindrome (10010200201001).

The spelling of 100101001100001 in words is "one hundred trillion, one hundred one billion, one million, one hundred thousand, one".