100110100100001 has 32 divisors (see below), whose sum is σ = 135142782747648. Its totient is φ = 65912279558400.

The previous prime is 100110100099957. The next prime is 100110100100039. The reversal of 100110100100001 is 100001001011001.

It is not a de Polignac number, because 100110100100001 - 2⁶ = 100110100099937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110100800001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207229200 + ... + 207711726.

It is an arithmetic number, because the mean of its divisors is an integer number (4223211960864).

Almost surely, 2^{100110100100001} is an apocalyptic number.

It is an amenable number.

100110100100001 is a deficient number, since it is larger than the sum of its proper divisors (35032682647647).

100110100100001 is a wasteful number, since it uses less digits than its factorization.

100110100100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484361.

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

Adding to 100110100100001 its reverse (100001001011001), we get a palindrome (200111101111002).

The spelling of 100110100100001 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred thousand, one".