102222120100 has 36 divisors (see below), whose sum is σ = 221855308164. Its totient is φ = 40882708480.

The previous prime is 102222120071. The next prime is 102222120107. The reversal of 102222120100 is 1021222201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9411716196 + 92810403904 = 97014^2 + 304648^2 .

It is not an unprimeable number, because it can be changed into a prime (102222120107) 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, 624444 + ... + 770956.

It is an arithmetic number, because the mean of its divisors is an integer number (6162647449).

Almost surely, 2^102222120100 is an apocalyptic number.

102222120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222120100 is an abundant number, since it is smaller than the sum of its proper divisors (119633188064).

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

102222120100 is a wasteful number, since it uses less digits than its factorization.

102222120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153504 (or 153497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102222120100 its reverse (1021222201), we get a palindrome (103243342301).

The spelling of 102222120100 in words is "one hundred two billion, two hundred twenty-two million, one hundred twenty thousand, one hundred".