10221100101 has 10 divisors (see below), whose sum is σ = 15268557062. Its totient is φ = 6814066680.

The previous prime is 10221100093. The next prime is 10221100121. The reversal of 10221100101 is 10100112201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9516197601 + 704902500 = 97551^2 + 26550^2 .

It is not a de Polignac number, because 10221100101 - 2³ = 10221100093 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221100121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63093130 + ... + 63093291.

Almost surely, 2^10221100101 is an apocalyptic number.

It is an amenable number.

10221100101 is a deficient number, since it is larger than the sum of its proper divisors (5047456961).

10221100101 is an equidigital number, since it uses as much as digits as its factorization.

10221100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126186433 (or 126186424 counting only the distinct ones).

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

Adding to 10221100101 its reverse (10100112201), we get a palindrome (20321212302).

The spelling of 10221100101 in words is "ten billion, two hundred twenty-one million, one hundred thousand, one hundred one".