100112020000201 has 16 divisors (see below), whose sum is σ = 117533108792448. Its totient is φ = 84253124563200.

The previous prime is 100112020000183. The next prime is 100112020000243. The reversal of 100112020000201 is 102000020211001.

It is a cyclic number.

It is not a de Polignac number, because 100112020000201 - 2¹³ = 100112019992009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112020000261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4388172165 + ... + 4388194978.

It is an arithmetic number, because the mean of its divisors is an integer number (7345819299528).

Almost surely, 2^{100112020000201} is an apocalyptic number.

100112020000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112020000201 is a deficient number, since it is larger than the sum of its proper divisors (17421088792247).

100112020000201 is a wasteful number, since it uses less digits than its factorization.

100112020000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8776367232.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100112020000201 its reverse (102000020211001), we get a palindrome (202112040211202).

The spelling of 100112020000201 in words is "one hundred trillion, one hundred twelve billion, twenty million, two hundred one", and thus it is an aban number.