102212122102020 has 288 divisors, whose sum is σ = 356285291281920. Its totient is φ = 23234465157120.

The previous prime is 102212122102003. The next prime is 102212122102021. The reversal of 102212122102020 is 20201221212201.

It is a happy number.

102212122102020 is a `hidden beast` number, since 1 + 0 + 221 + 21 + 221 + 0 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102212122101984 and 102212122102002.

It is not an unprimeable number, because it can be changed into a prime (102212122102021) 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 95 ways as a sum of consecutive naturals, for example, 225392866 + ... + 225845894.

It is an arithmetic number, because the mean of its divisors is an integer number (1237101705840).

Almost surely, 2^{102212122102020} is an apocalyptic number.

102212122102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212122102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178142645640960).

102212122102020 is an abundant number, since it is smaller than the sum of its proper divisors (254073169179900).

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

102212122102020 is a wasteful number, since it uses less digits than its factorization.

102212122102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454035 (or 454030 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212122102020 its reverse (20201221212201), we get a palindrome (122413343314221).

The spelling of 102212122102020 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred two thousand, twenty".