100221200101 has 32 divisors (see below), whose sum is σ = 111512739456. Its totient is φ = 90061171200.

The previous prime is 100221200077. The next prime is 100221200111. The reversal of 100221200101 is 101002122001.

It is not a de Polignac number, because 100221200101 - 2⁷ = 100221199973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221200111) 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, 44090901 + ... + 44093173.

It is an arithmetic number, because the mean of its divisors is an integer number (3484773108).

Almost surely, 2^100221200101 is an apocalyptic number.

100221200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221200101 is a deficient number, since it is larger than the sum of its proper divisors (11291539355).

100221200101 is a wasteful number, since it uses less digits than its factorization.

100221200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2652 counting only the distinct ones).

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

Adding to 100221200101 its reverse (101002122001), we get a palindrome (201223322102).

The spelling of 100221200101 in words is "one hundred billion, two hundred twenty-one million, two hundred thousand, one hundred one".