102100100221221 has 32 divisors (see below), whose sum is σ = 142147473807360. Its totient is φ = 65063706611904.

The previous prime is 102100100221199. The next prime is 102100100221247. The reversal of 102100100221221 is 122122001001201.

It is not a de Polignac number, because 102100100221221 - 2¹⁰ = 102100100220197 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102100100221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100100121221) 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 31 ways as a sum of consecutive naturals, for example, 829164360 + ... + 829287486.

It is an arithmetic number, because the mean of its divisors is an integer number (4442108556480).

Almost surely, 2^{102100100221221} is an apocalyptic number.

It is an amenable number.

102100100221221 is a deficient number, since it is larger than the sum of its proper divisors (40047373586139).

102100100221221 is a wasteful number, since it uses less digits than its factorization.

102100100221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131105.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102100100221221 its reverse (122122001001201), we get a palindrome (224222101222422).

The spelling of 102100100221221 in words is "one hundred two trillion, one hundred billion, one hundred million, two hundred twenty-one thousand, two hundred twenty-one".