102220123300 has 36 divisors (see below), whose sum is σ = 221949055636. Its totient is φ = 40863830400.

The previous prime is 102220123277. The next prime is 102220123303. The reversal of 102220123300 is 3321022201.

It can be written as a sum of positive squares in 6 ways, for example, as 2094709824 + 100125413476 = 45768^2 + 316426^2 .

It is a super-3 number, since 3×102220123300³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102220123303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132591 + ... + 471190.

Almost surely, 2^102220123300 is an apocalyptic number.

102220123300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220123300 is an abundant number, since it is smaller than the sum of its proper divisors (119728932336).

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

102220123300 is a wasteful number, since it uses less digits than its factorization.

102220123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605488 (or 605481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102220123300 its reverse (3321022201), we get a palindrome (105541145501).

The spelling of 102220123300 in words is "one hundred two billion, two hundred twenty million, one hundred twenty-three thousand, three hundred".