102021222212221 has 16 divisors (see below), whose sum is σ = 112580743868208. Its totient is φ = 91850397580800.

The previous prime is 102021222212219. The next prime is 102021222212233. The reversal of 102021222212221 is 122212222120201.

It can be written as a sum of positive squares in 8 ways, for example, as 3776749144996 + 98244473067225 = 1943386^2 + 9911835^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021222212221 - 2¹ = 102021222212219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102021222212192 and 102021222212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021222212521) 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, 25337470 + ... + 29086591.

It is an arithmetic number, because the mean of its divisors is an integer number (7036296491763).

Almost surely, 2^{102021222212221} is an apocalyptic number.

It is an amenable number.

102021222212221 is a deficient number, since it is larger than the sum of its proper divisors (10559521655987).

102021222212221 is a wasteful number, since it uses less digits than its factorization.

102021222212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54427632.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 102021222212221 its reverse (122212222120201), we get a palindrome (224233444332422).

The spelling of 102021222212221 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".