100100110100101 has 8 divisors (see below), whose sum is σ = 100711567078304. Its totient is φ = 99489295074960.

The previous prime is 100100110100063. The next prime is 100100110100131. The reversal of 100100110100101 is 101001011001001.

It is a happy number.

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 100100110100101 - 2¹³ = 100100110091909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110100131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160175451 + ... + 160799176.

It is an arithmetic number, because the mean of its divisors is an integer number (12588945884788).

Almost surely, 2^{100100110100101} is an apocalyptic number.

It is an amenable number.

100100110100101 is a deficient number, since it is larger than the sum of its proper divisors (611456978203).

100100110100101 is a wasteful number, since it uses less digits than its factorization.

100100110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320976531.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100110100101 its reverse (101001011001001), we get a palindrome (201101121101102).

It can be divided in two parts, 1001001 and 10100101, that multiplied together give a palindrome (10110211201101).

The spelling of 100100110100101 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred one".