100100101201 has 16 divisors (see below), whose sum is σ = 106342027200. Its totient is φ = 93958195968.

The previous prime is 100100101181. The next prime is 100100101237. The reversal of 100100101201 is 102101001001.

It is a cyclic number.

It is not a de Polignac number, because 100100101201 - 2²⁹ = 99563230289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100101501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324605 + ... + 1398133.

It is an arithmetic number, because the mean of its divisors is an integer number (6646376700).

Almost surely, 2^100100101201 is an apocalyptic number.

It is an amenable number.

100100101201 is a deficient number, since it is larger than the sum of its proper divisors (6241925999).

100100101201 is a wasteful number, since it uses less digits than its factorization.

100100101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74208.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100101201 its reverse (102101001001), we get a palindrome (202201102202).

The spelling of 100100101201 in words is "one hundred billion, one hundred million, one hundred one thousand, two hundred one".