100221001101 has 24 divisors (see below), whose sum is σ = 159701765496. Its totient is φ = 60170204160.

The previous prime is 100221001033. The next prime is 100221001123. The reversal of 100221001101 is 101100122001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3297745476 + 96923255625 = 57426^2 + 311325^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100221001101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221001141) 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, 10441420 + ... + 10451013.

It is an arithmetic number, because the mean of its divisors is an integer number (6654240229).

Almost surely, 2^100221001101 is an apocalyptic number.

It is an amenable number.

100221001101 is a deficient number, since it is larger than the sum of its proper divisors (59480764395).

100221001101 is a wasteful number, since it uses less digits than its factorization.

100221001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20892493 (or 20892490 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100221001101 its reverse (101100122001), we get a palindrome (201321123102).

The spelling of 100221001101 in words is "one hundred billion, two hundred twenty-one million, one thousand, one hundred one".