102222103120 has 80 divisors (see below), whose sum is σ = 238509765648. Its totient is φ = 40744017920.

The previous prime is 102222103117. The next prime is 102222103133. The reversal of 102222103120 is 21301222201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3954900544 + 98267202576 = 62888^2 + 313476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102222103094 and 102222103103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36030342 + ... + 36033178.

Almost surely, 2^102222103120 is an apocalyptic number.

102222103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222103120 is an abundant number, since it is smaller than the sum of its proper divisors (136287662528).

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

102222103120 is a wasteful number, since it uses less digits than its factorization.

102222103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102222103120 its reverse (21301222201), we get a palindrome (123523325321).

The spelling of 102222103120 in words is "one hundred two billion, two hundred twenty-two million, one hundred three thousand, one hundred twenty".