100001220332101 has 24 divisors (see below), whose sum is σ = 110123723368512. Its totient is φ = 90740717073600.

The previous prime is 100001220332011. The next prime is 100001220332119. The reversal of 100001220332101 is 101233022100001.

It is not a de Polignac number, because 100001220332101 - 2⁴³ = 91205127309893 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 (100001220332131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253207056 + ... + 253601686.

It is an arithmetic number, because the mean of its divisors is an integer number (4588488473688).

Almost surely, 2^{100001220332101} is an apocalyptic number.

100001220332101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001220332101 is a deficient number, since it is larger than the sum of its proper divisors (10122503036411).

100001220332101 is a wasteful number, since it uses less digits than its factorization.

100001220332101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398553 (or 398542 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100001220332101 its reverse (101233022100001), we get a palindrome (201234242432102).

The spelling of 100001220332101 in words is "one hundred trillion, one billion, two hundred twenty million, three hundred thirty-two thousand, one hundred one".