100111011121221 has 8 divisors (see below), whose sum is σ = 133485140278464. Its totient is φ = 66738778022400.

The previous prime is 100111011121207. The next prime is 100111011121223. The reversal of 100111011121221 is 122121110111001.

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

It is not a de Polignac number, because 100111011121221 - 2⁶ = 100111011121157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111011121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473891401 + ... + 474102606.

It is an arithmetic number, because the mean of its divisors is an integer number (16685642534808).

Almost surely, 2^{100111011121221} is an apocalyptic number.

It is an amenable number.

100111011121221 is a deficient number, since it is larger than the sum of its proper divisors (33374129157243).

100111011121221 is an equidigital number, since it uses as much as digits as its factorization.

100111011121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948029211.

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

Adding to 100111011121221 its reverse (122121110111001), we get a palindrome (222232121232222).

The spelling of 100111011121221 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred twenty-one thousand, two hundred twenty-one".