102122212101221 has 16 divisors (see below), whose sum is σ = 113526059458560. Its totient is φ = 91225297042560.

The previous prime is 102122212101209. The next prime is 102122212101263. The reversal of 102122212101221 is 122101212221201.

It is a cyclic number.

It is not a de Polignac number, because 102122212101221 - 2¹⁰ = 102122212100197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102122212101193 and 102122212101202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122212101421) 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, 86393660 + ... + 87567738.

It is an arithmetic number, because the mean of its divisors is an integer number (7095378716160).

Almost surely, 2^{102122212101221} is an apocalyptic number.

It is an amenable number.

102122212101221 is a deficient number, since it is larger than the sum of its proper divisors (11403847357339).

102122212101221 is a wasteful number, since it uses less digits than its factorization.

102122212101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389956.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102122212101221 its reverse (122101212221201), we get a palindrome (224223424322422).

The spelling of 102122212101221 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred one thousand, two hundred twenty-one".