100010221201 has 32 divisors (see below), whose sum is σ = 114670494720. Its totient is φ = 86337451200.

The previous prime is 100010221153. The next prime is 100010221217. The reversal of 100010221201 is 102122010001.

It is not a de Polignac number, because 100010221201 - 2⁹ = 100010220689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010222201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23646555 + ... + 23650783.

It is an arithmetic number, because the mean of its divisors is an integer number (3583452960).

Almost surely, 2^100010221201 is an apocalyptic number.

100010221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010221201 is a deficient number, since it is larger than the sum of its proper divisors (14660273519).

100010221201 is a wasteful number, since it uses less digits than its factorization.

100010221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917.

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

Adding to 100010221201 its reverse (102122010001), we get a palindrome (202132231202).

It can be divided in two parts, 1000 and 10221201, that added together give a palindrome (10222201).

The spelling of 100010221201 in words is "one hundred billion, ten million, two hundred twenty-one thousand, two hundred one".