102222212100020 has 12 divisors (see below), whose sum is σ = 214666645410084. Its totient is φ = 40888884840000.

The previous prime is 102222212099999. The next prime is 102222212100031. The reversal of 102222212100020 is 20001212222201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78620532379684 + 23601679720336 = 8866822^2 + 4858156^2 .

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 3 ways as a sum of consecutive naturals, for example, 2555555302481 + ... + 2555555302520.

It is an arithmetic number, because the mean of its divisors is an integer number (17888887117507).

Almost surely, 2^{102222212100020} is an apocalyptic number.

102222212100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222212100020 is an abundant number, since it is smaller than the sum of its proper divisors (112444433310064).

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

102222212100020 is a wasteful number, since it uses less digits than its factorization.

102222212100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111110605010 (or 5111110605008 counting only the distinct ones).

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

Adding to 102222212100020 its reverse (20001212222201), we get a palindrome (122223424322221).

The spelling of 102222212100020 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred thousand, twenty".