100001100221 has 16 divisors (see below), whose sum is σ = 109832110080. Its totient is φ = 90295294320.

The previous prime is 100001100167. The next prime is 100001100223. The reversal of 100001100221 is 122001100001.

It is not a de Polignac number, because 100001100221 - 2²⁶ = 99933991357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001100199 and 100001100208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001100223) 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, 1030436 + ... + 1123298.

It is an arithmetic number, because the mean of its divisors is an integer number (6864506880).

Almost surely, 2^100001100221 is an apocalyptic number.

100001100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001100221 is a deficient number, since it is larger than the sum of its proper divisors (9831009859).

100001100221 is a wasteful number, since it uses less digits than its factorization.

100001100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93536.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001100221 its reverse (122001100001), we get a palindrome (222002200222).

The spelling of 100001100221 in words is "one hundred billion, one million, one hundred thousand, two hundred twenty-one".