102100110111221 has 16 divisors (see below), whose sum is σ = 107180250278400. Its totient is φ = 97073853650928.

The previous prime is 102100110111199. The next prime is 102100110111323. The reversal of 102100110111221 is 122111011001201.

It is a cyclic number.

It is not a de Polignac number, because 102100110111221 - 2³⁰ = 102099036369397 is a prime.

It is a super-2 number, since 2×102100110111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100110111196 and 102100110111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100110111721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4328330 + ... + 14930996.

It is an arithmetic number, because the mean of its divisors is an integer number (6698765642400).

Almost surely, 2^{102100110111221} is an apocalyptic number.

It is an amenable number.

102100110111221 is a deficient number, since it is larger than the sum of its proper divisors (5080140167179).

102100110111221 is a wasteful number, since it uses less digits than its factorization.

102100110111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605208.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102100110111221 its reverse (122111011001201), we get a palindrome (224211121112422).

The spelling of 102100110111221 in words is "one hundred two trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, two hundred twenty-one".