100001221201 has 12 divisors (see below), whose sum is σ = 117479718900. Its totient is φ = 84866661600.

The previous prime is 100001221171. The next prime is 100001221223. The reversal of 100001221201 is 102122100001.

It can be written as a sum of positive squares in 2 ways, for example, as 48743808400 + 51257412801 = 220780^2 + 226401^2 .

It is not a de Polignac number, because 100001221201 - 2³⁵ = 65641482833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001221501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10098226 + ... + 10108123.

It is an arithmetic number, because the mean of its divisors is an integer number (9789976575).

Almost surely, 2^100001221201 is an apocalyptic number.

It is an amenable number.

100001221201 is a deficient number, since it is larger than the sum of its proper divisors (17478497699).

100001221201 is a wasteful number, since it uses less digits than its factorization.

100001221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20206464 (or 20206457 counting only the distinct ones).

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

Adding to 100001221201 its reverse (102122100001), we get a palindrome (202123321202).

The spelling of 100001221201 in words is "one hundred billion, one million, two hundred twenty-one thousand, two hundred one".