100221102001 has 16 divisors (see below), whose sum is σ = 103892835600. Its totient is φ = 96564025600.

The previous prime is 100221101999. The next prime is 100221102013. The reversal of 100221102001 is 100201122001.

It can be written as a sum of positive squares in 8 ways, for example, as 4615843600 + 95605258401 = 67940^2 + 309201^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221102001 - 2¹ = 100221101999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42090831 + ... + 42093211.

It is an arithmetic number, because the mean of its divisors is an integer number (6493302225).

Almost surely, 2^100221102001 is an apocalyptic number.

It is an amenable number.

100221102001 is a deficient number, since it is larger than the sum of its proper divisors (3671733599).

100221102001 is a wasteful number, since it uses less digits than its factorization.

100221102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820.

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

Adding to 100221102001 its reverse (100201122001), we get a palindrome (200422224002).

The spelling of 100221102001 in words is "one hundred billion, two hundred twenty-one million, one hundred two thousand, one".