100221201001 has 4 divisors (see below), whose sum is σ = 100223265604. Its totient is φ = 100219136400.

The previous prime is 100221200999. The next prime is 100221201023. The reversal of 100221201001 is 100102122001.

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 92949375376 + 7271825625 = 304876^2 + 85275^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221201001 - 2¹ = 100221200999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221201071) 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, 957690 + ... + 1057171.

It is an arithmetic number, because the mean of its divisors is an integer number (25055816401).

Almost surely, 2^100221201001 is an apocalyptic number.

It is an amenable number.

100221201001 is a deficient number, since it is larger than the sum of its proper divisors (2064603).

100221201001 is an equidigital number, since it uses as much as digits as its factorization.

100221201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064602.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100221201001 its reverse (100102122001), we get a palindrome (200323323002).

The spelling of 100221201001 in words is "one hundred billion, two hundred twenty-one million, two hundred one thousand, one".