100223022101 has 8 divisors (see below), whose sum is σ = 102436165944. Its totient is φ = 98021809600.

The previous prime is 100223022089. The next prime is 100223022121. The reversal of 100223022101 is 101220322001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9712299601 + 90510722500 = 98551^2 + 300850^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100223022101 - 2⁶ = 100223022037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2965850 + ... + 2999451.

It is an arithmetic number, because the mean of its divisors is an integer number (12804520743).

Almost surely, 2^100223022101 is an apocalyptic number.

It is an amenable number.

100223022101 is a deficient number, since it is larger than the sum of its proper divisors (2213143843).

100223022101 is an equidigital number, since it uses as much as digits as its factorization.

100223022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965671.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100223022101 its reverse (101220322001), we get a palindrome (201443344102).

The spelling of 100223022101 in words is "one hundred billion, two hundred twenty-three million, twenty-two thousand, one hundred one".