100012201102201 has 4 divisors (see below), whose sum is σ = 100012585302900. Its totient is φ = 100011816901504.

The previous prime is 100012201102153. The next prime is 100012201102211. The reversal of 100012201102201 is 102201102210001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 40492210495801 + 59519990606400 = 6363349^2 + 7714920^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012201102201 - 2²⁵ = 100012167547769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012201102211) 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 3 ways as a sum of consecutive naturals, for example, 191709616 + ... + 192230593.

It is an arithmetic number, because the mean of its divisors is an integer number (25003146325725).

Almost surely, 2^{100012201102201} is an apocalyptic number.

It is an amenable number.

100012201102201 is a deficient number, since it is larger than the sum of its proper divisors (384200699).

100012201102201 is an equidigital number, since it uses as much as digits as its factorization.

100012201102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384200698.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100012201102201 its reverse (102201102210001), we get a palindrome (202213303312202).

The spelling of 100012201102201 in words is "one hundred trillion, twelve billion, two hundred one million, one hundred two thousand, two hundred one".