100221102035201 has 16 divisors (see below), whose sum is σ = 115018745886720. Its totient is φ = 85543550972880.

The previous prime is 100221102035147. The next prime is 100221102035209. The reversal of 100221102035201 is 102530201122001.

It is not a de Polignac number, because 100221102035201 - 2¹⁸ = 100221101773057 is a prime.

It is a super-2 number, since 2×100221102035201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100221102035209) 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, 228665870 + ... + 229103736.

It is an arithmetic number, because the mean of its divisors is an integer number (7188671617920).

Almost surely, 2^{100221102035201} is an apocalyptic number.

It is an amenable number.

100221102035201 is a deficient number, since it is larger than the sum of its proper divisors (14797643851519).

100221102035201 is a wasteful number, since it uses less digits than its factorization.

100221102035201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574924.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 100221102035201 its reverse (102530201122001), we get a palindrome (202751303157202).

The spelling of 100221102035201 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, thirty-five thousand, two hundred one".