100222121212101 has 64 divisors (see below), whose sum is σ = 174599283264000. Its totient is φ = 56330934114240.

The previous prime is 100222121212067. The next prime is 100222121212163. The reversal of 100222121212101 is 101212121222001.

100222121212101 is a `hidden beast` number, since 10 + 0 + 222 + 121 + 212 + 101 = 666.

It is not a de Polignac number, because 100222121212101 - 2¹⁵ = 100222121179333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222121212181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52726926 + ... + 54594623.

It is an arithmetic number, because the mean of its divisors is an integer number (2728113801000).

Almost surely, 2^{100222121212101} is an apocalyptic number.

It is an amenable number.

100222121212101 is a deficient number, since it is larger than the sum of its proper divisors (74377162051899).

100222121212101 is an frugal number, since it uses more digits than its factorization.

100222121212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107321638 (or 107321620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100222121212101 its reverse (101212121222001), we get a palindrome (201434242434102).

The spelling of 100222121212101 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".