100101100212201 has 64 divisors (see below), whose sum is σ = 148528195706880. Its totient is φ = 59462295360000.

The previous prime is 100101100212181. The next prime is 100101100212259. The reversal of 100101100212201 is 102212001101001.

It is not a de Polignac number, because 100101100212201 - 2⁶ = 100101100212137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101100212271) 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 63 ways as a sum of consecutive naturals, for example, 178298536 + ... + 178859078.

It is an arithmetic number, because the mean of its divisors is an integer number (2320753057920).

Almost surely, 2^{100101100212201} is an apocalyptic number.

100101100212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101100212201 is a deficient number, since it is larger than the sum of its proper divisors (48427095494679).

100101100212201 is a wasteful number, since it uses less digits than its factorization.

100101100212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561198.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101100212201 its reverse (102212001101001), we get a palindrome (202313101313202).

The spelling of 100101100212201 in words is "one hundred trillion, one hundred one billion, one hundred million, two hundred twelve thousand, two hundred one".