100222022010101 has 8 divisors (see below), whose sum is σ = 100487641027800. Its totient is φ = 99956443910400.

The previous prime is 100222022010083. The next prime is 100222022010107. The reversal of 100222022010101 is 101010220222001.

It can be written as a sum of positive squares in 4 ways, for example, as 697475522500 + 99524546487601 = 835150^2 + 9976199^2 .

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 100222022010101 - 2⁶ = 100222022010037 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 (100222022010107) 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, 5321216 + ... + 15124793.

It is an arithmetic number, because the mean of its divisors is an integer number (12560955128475).

Almost surely, 2^{100222022010101} is an apocalyptic number.

It is an amenable number.

100222022010101 is a deficient number, since it is larger than the sum of its proper divisors (265619017699).

100222022010101 is a wasteful number, since it uses less digits than its factorization.

100222022010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20458999.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100222022010101 its reverse (101010220222001), we get a palindrome (201232242232102).

The spelling of 100222022010101 in words is "one hundred trillion, two hundred twenty-two billion, twenty-two million, ten thousand, one hundred one".