100221012101 has 36 divisors (see below), whose sum is σ = 126014579808. Its totient is φ = 78061288704.

The previous prime is 100221012079. The next prime is 100221012103. The reversal of 100221012101 is 101210122001.

It is not a de Polignac number, because 100221012101 - 2¹⁸ = 100220749957 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 (100221012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1671890 + ... + 1730796.

Almost surely, 2^100221012101 is an apocalyptic number.

It is an amenable number.

100221012101 is a deficient number, since it is larger than the sum of its proper divisors (25793567707).

100221012101 is an equidigital number, since it uses as much as digits as its factorization.

100221012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59006 (or 58960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221012101 its reverse (101210122001), we get a palindrome (201431134102).

The spelling of 100221012101 in words is "one hundred billion, two hundred twenty-one million, twelve thousand, one hundred one".