100101011212201 has 6 divisors (see below), whose sum is σ = 102483079625850. Its totient is φ = 97773080717088.

The previous prime is 100101011212159. The next prime is 100101011212313. The reversal of 100101011212201 is 102212110101001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99397928962201 + 703082250000 = 9969851^2 + 838500^2 .

It is not a de Polignac number, because 100101011212201 - 2¹⁹ = 100101010687913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101011215201) 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 5 ways as a sum of consecutive naturals, for example, 27068957376 + ... + 27068961073.

It is an arithmetic number, because the mean of its divisors is an integer number (17080513270975).

Almost surely, 2^{100101011212201} is an apocalyptic number.

It is an amenable number.

100101011212201 is a deficient number, since it is larger than the sum of its proper divisors (2382068413649).

100101011212201 is an frugal number, since it uses more digits than its factorization.

100101011212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54137918535 (or 54137918492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100101011212201 its reverse (102212110101001), we get a palindrome (202313121313202).

The spelling of 100101011212201 in words is "one hundred trillion, one hundred one billion, eleven million, two hundred twelve thousand, two hundred one".