100100221212001 has 4 divisors (see below), whose sum is σ = 100100264045572. Its totient is φ = 100100178378432.

The previous prime is 100100221211993. The next prime is 100100221212037. The reversal of 100100221212001 is 100212122001001.

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 1442883842401 + 98657337369600 = 1201201^2 + 9932640^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100221212001 - 2³ = 100100221211993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100221212401) 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 3 ways as a sum of consecutive naturals, for example, 17695860 + ... + 22657093.

It is an arithmetic number, because the mean of its divisors is an integer number (25025066011393).

Almost surely, 2^{100100221212001} is an apocalyptic number.

It is an amenable number.

100100221212001 is a deficient number, since it is larger than the sum of its proper divisors (42833571).

100100221212001 is an equidigital number, since it uses as much as digits as its factorization.

100100221212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42833570.

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

Adding to 100100221212001 its reverse (100212122001001), we get a palindrome (200312343213002).

The spelling of 100100221212001 in words is "one hundred trillion, one hundred billion, two hundred twenty-one million, two hundred twelve thousand, one".