102212010122020 has 24 divisors (see below), whose sum is σ = 214646096085624. Its totient is φ = 40884637414656.

The previous prime is 102212010122011. The next prime is 102212010122059. The reversal of 102212010122020 is 20221010212201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26862804848356 + 75349205273664 = 5182934^2 + 8680392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102212010121985 and 102212010122003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5324137 + ... + 15256816.

It is an arithmetic number, because the mean of its divisors is an integer number (8943587336901).

Almost surely, 2^{102212010122020} is an apocalyptic number.

102212010122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212010122020 is an abundant number, since it is smaller than the sum of its proper divisors (112434085963604).

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

102212010122020 is a wasteful number, since it uses less digits than its factorization.

102212010122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20829279 (or 20829277 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212010122020 its reverse (20221010212201), we get a palindrome (122433020334221).

The spelling of 102212010122020 in words is "one hundred two trillion, two hundred twelve billion, ten million, one hundred twenty-two thousand, twenty".