102201222201020 has 48 divisors (see below), whose sum is σ = 228222734489568. Its totient is φ = 38310622218240.

The previous prime is 102201222200963. The next prime is 102201222201041. The reversal of 102201222201020 is 20102222102201.

It is a happy number.

102201222201020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 102201222201020.

It is a congruent number.

It is an unprimeable number.

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, 644967626 + ... + 645126065.

It is an arithmetic number, because the mean of its divisors is an integer number (4754640301866).

Almost surely, 2^{102201222201020} is an apocalyptic number.

102201222201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201222201020 is an abundant number, since it is smaller than the sum of its proper divisors (126021512288548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201222201020 is a wasteful number, since it uses less digits than its factorization.

102201222201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290093950 (or 1290093948 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102201222201020 its reverse (20102222102201), we get a palindrome (122303444303221).

The spelling of 102201222201020 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-two million, two hundred one thousand, twenty".