100001021100101 has 8 divisors (see below), whose sum is σ = 110880416839008. Its totient is φ = 89419690998000.

The previous prime is 100001021100089. The next prime is 100001021100241. The reversal of 100001021100101 is 101001120100001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100001021100101 - 2¹⁸ = 100001020837957 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 (100001021106101) 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, 74516408495 + ... + 74516409836.

It is an arithmetic number, because the mean of its divisors is an integer number (13860052104876).

Almost surely, 2^{100001021100101} is an apocalyptic number.

100001021100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001021100101 is a deficient number, since it is larger than the sum of its proper divisors (10879395738907).

100001021100101 is a wasteful number, since it uses less digits than its factorization.

100001021100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149032818403.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001021100101 its reverse (101001120100001), we get a palindrome (201002141200102).

The spelling of 100001021100101 in words is "one hundred trillion, one billion, twenty-one million, one hundred thousand, one hundred one".