102221011111012 has 12 divisors (see below), whose sum is σ = 178887082067820. Its totient is φ = 51110416234496.

The previous prime is 102221011110971. The next prime is 102221011111031. The reversal of 102221011111012 is 210111110122201.

102221011111012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 71701198134336 + 30519812976676 = 8467656^2 + 5524474^2 .

It is a super-2 number, since 2×102221011111012² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19721437 + ... + 24359332.

It is an arithmetic number, because the mean of its divisors is an integer number (14907256838985).

Almost surely, 2^{102221011111012} is an apocalyptic number.

It is an amenable number.

102221011111012 is a deficient number, since it is larger than the sum of its proper divisors (76666070956808).

102221011111012 is a wasteful number, since it uses less digits than its factorization.

102221011111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44660510 (or 44660508 counting only the distinct ones).

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

Adding to 102221011111012 its reverse (210111110122201), we get a palindrome (312332121233213).

The spelling of 102221011111012 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, one hundred eleven thousand, twelve".