102021222110101 has 12 divisors (see below), whose sum is σ = 119852775384300. Its totient is φ = 86580952281600.

The previous prime is 102021222110083. The next prime is 102021222110149. The reversal of 102021222110101 is 101011222120201.

It can be written as a sum of positive squares in 2 ways, for example, as 100211591809476 + 1809630300625 = 10010574^2 + 1345225^2 .

It is not a de Polignac number, because 102021222110101 - 2³¹ = 102019074626453 is a prime.

It is a super-2 number, since 2×102021222110101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021222110201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10307251276 + ... + 10307261173.

It is an arithmetic number, because the mean of its divisors is an integer number (9987731282025).

Almost surely, 2^{102021222110101} is an apocalyptic number.

It is an amenable number.

102021222110101 is a deficient number, since it is larger than the sum of its proper divisors (17831553274199).

102021222110101 is a wasteful number, since it uses less digits than its factorization.

102021222110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20614512564 (or 20614512557 counting only the distinct ones).

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

Adding to 102021222110101 its reverse (101011222120201), we get a palindrome (203032444230302).

The spelling of 102021222110101 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-two million, one hundred ten thousand, one hundred one".