100011210110201 has 32 divisors (see below), whose sum is σ = 111506746982400. Its totient is φ = 89076485376000.

The previous prime is 100011210110183. The next prime is 100011210110261. The reversal of 100011210110201 is 102011012110001.

It is a cyclic number.

It is not a de Polignac number, because 100011210110201 - 2⁶ = 100011210110137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011210110261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2254971176 + ... + 2255015526.

It is an arithmetic number, because the mean of its divisors is an integer number (3484585843200).

Almost surely, 2^{100011210110201} is an apocalyptic number.

It is an amenable number.

100011210110201 is a deficient number, since it is larger than the sum of its proper divisors (11495536872199).

100011210110201 is a wasteful number, since it uses less digits than its factorization.

100011210110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60777.

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

Adding to 100011210110201 its reverse (102011012110001), we get a palindrome (202022222220202).

The spelling of 100011210110201 in words is "one hundred trillion, eleven billion, two hundred ten million, one hundred ten thousand, two hundred one".