100011200121101 has 8 divisors (see below), whose sum is σ = 100614253348224. Its totient is φ = 99408196701040.

The previous prime is 100011200121017. The next prime is 100011200121109. The reversal of 100011200121101 is 101121002110001.

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 100011200121101 - 2¹⁸ = 100011199858957 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 (100011200121109) 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 7 ways as a sum of consecutive naturals, for example, 8419790 + ... + 16459503.

It is an arithmetic number, because the mean of its divisors is an integer number (12576781668528).

Almost surely, 2^{100011200121101} is an apocalyptic number.

It is an amenable number.

100011200121101 is a deficient number, since it is larger than the sum of its proper divisors (603053227123).

100011200121101 is a wasteful number, since it uses less digits than its factorization.

100011200121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24903531.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100011200121101 its reverse (101121002110001), we get a palindrome (201132202231102).

The spelling of 100011200121101 in words is "one hundred trillion, eleven billion, two hundred million, one hundred twenty-one thousand, one hundred one".