102102122202020 has 12 divisors (see below), whose sum is σ = 214414456624284. Its totient is φ = 40840848880800.

The previous prime is 102102122201987. The next prime is 102102122202053. The reversal of 102102122202020 is 20202221201201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102102122201987) and next prime (102102122202053).

It can be written as a sum of positive squares in 2 ways, for example, as 55113044001856 + 46989078200164 = 7423816^2 + 6854858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102102122202020.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2552553055031 + ... + 2552553055070.

It is an arithmetic number, because the mean of its divisors is an integer number (17867871385357).

Almost surely, 2^{102102122202020} is an apocalyptic number.

102102122202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102122202020 is an abundant number, since it is smaller than the sum of its proper divisors (112312334422264).

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

102102122202020 is a wasteful number, since it uses less digits than its factorization.

102102122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105106110110 (or 5105106110108 counting only the distinct ones).

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

Adding to 102102122202020 its reverse (20202221201201), we get a palindrome (122304343403221).

The spelling of 102102122202020 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-two million, two hundred two thousand, twenty".