102112020101221 has 16 divisors (see below), whose sum is σ = 110938661535744. Its totient is φ = 93427415161344.

The previous prime is 102112020101173. The next prime is 102112020101239. The reversal of 102112020101221 is 122101020211201.

It is a cyclic number.

It is not a de Polignac number, because 102112020101221 - 2⁹ = 102112020100709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112020101195 and 102112020101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112020101621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65854821 + ... + 67387546.

It is an arithmetic number, because the mean of its divisors is an integer number (6933666345984).

Almost surely, 2^{102112020101221} is an apocalyptic number.

It is an amenable number.

102112020101221 is a deficient number, since it is larger than the sum of its proper divisors (8826641434523).

102112020101221 is a wasteful number, since it uses less digits than its factorization.

102112020101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133242900.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112020101221 its reverse (122101020211201), we get a palindrome (224213040312422).

The spelling of 102112020101221 in words is "one hundred two trillion, one hundred twelve billion, twenty million, one hundred one thousand, two hundred twenty-one".