100101111112221 has 8 divisors (see below), whose sum is σ = 134239640336160. Its totient is φ = 66348327981552.

The previous prime is 100101111112193. The next prime is 100101111112231. The reversal of 100101111112221 is 122211111101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100101111112221 - 2²³ = 100101102723613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101111112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111112231) 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 7 ways as a sum of consecutive naturals, for example, 96436522711 + ... + 96436523748.

It is an arithmetic number, because the mean of its divisors is an integer number (16779955042020).

Almost surely, 2^{100101111112221} is an apocalyptic number.

It is an amenable number.

100101111112221 is a deficient number, since it is larger than the sum of its proper divisors (34138529223939).

100101111112221 is a wasteful number, since it uses less digits than its factorization.

100101111112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192873046635.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100101111112221 its reverse (122211111101001), we get a palindrome (222312222213222).

The spelling of 100101111112221 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-one".