100222002101 has 8 divisors (see below), whose sum is σ = 109700754744. Its totient is φ = 90996016320.

The previous prime is 100222002077. The next prime is 100222002173. The reversal of 100222002101 is 101200222001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19196379601 + 81025622500 = 138551^2 + 284650^2 .

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 100222002101 - 2¹⁸ = 100221739957 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 (100222002301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63190886 + ... + 63192471.

It is an arithmetic number, because the mean of its divisors is an integer number (13712594343).

Almost surely, 2^100222002101 is an apocalyptic number.

It is an amenable number.

100222002101 is a deficient number, since it is larger than the sum of its proper divisors (9478752643).

100222002101 is a wasteful number, since it uses less digits than its factorization.

100222002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126383431.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100222002101 its reverse (101200222001), we get a palindrome (201422224102).

The spelling of 100222002101 in words is "one hundred billion, two hundred twenty-two million, two thousand, one hundred one".