102223440100 has 36 divisors (see below), whose sum is σ = 225461351668. Its totient is φ = 40219056000.

The previous prime is 102223440091. The next prime is 102223440107. The reversal of 102223440100 is 1044322201.

It can be written as a sum of positive squares in 6 ways, for example, as 2482430976 + 99741009124 = 49824^2 + 315818^2 .

It is not an unprimeable number, because it can be changed into a prime (102223440107) 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, 8372871 + ... + 8385070.

Almost surely, 2^102223440100 is an apocalyptic number.

102223440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223440100 is an abundant number, since it is smaller than the sum of its proper divisors (123237911568).

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

102223440100 is a wasteful number, since it uses less digits than its factorization.

102223440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16758016 (or 16758009 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 102223440100 its reverse (1044322201), we get a palindrome (103267762301).

The spelling of 102223440100 in words is "one hundred two billion, two hundred twenty-three million, four hundred forty thousand, one hundred".