100110212101221 has 64 divisors (see below), whose sum is σ = 155549196288000. Its totient is φ = 56090905917696.

The previous prime is 100110212101219. The next prime is 100110212101223. The reversal of 100110212101221 is 122101212011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100110212101219) and next prime (100110212101223).

It is not a de Polignac number, because 100110212101221 - 2¹ = 100110212101219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110212101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110212101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1257420811 + ... + 1257500423.

It is an arithmetic number, because the mean of its divisors is an integer number (2430456192000).

Almost surely, 2^{100110212101221} is an apocalyptic number.

It is an amenable number.

100110212101221 is a deficient number, since it is larger than the sum of its proper divisors (55438984186779).

100110212101221 is a wasteful number, since it uses less digits than its factorization.

100110212101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84938.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100110212101221 its reverse (122101212011001), we get a palindrome (222211424112222).

The spelling of 100110212101221 in words is "one hundred trillion, one hundred ten billion, two hundred twelve million, one hundred one thousand, two hundred twenty-one".