102212022220 has 192 divisors, whose sum is σ = 271256573952. Its totient is φ = 31426560000.

The previous prime is 102212022203. The next prime is 102212022229. The reversal of 102212022220 is 22220212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212022194 and 102212022203.

It is not an unprimeable number, because it can be changed into a prime (102212022229) 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 63 ways as a sum of consecutive naturals, for example, 48371884 + ... + 48373996.

It is an arithmetic number, because the mean of its divisors is an integer number (1412794656).

Almost surely, 2^102212022220 is an apocalyptic number.

102212022220 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 102212022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135628286976).

102212022220 is an abundant number, since it is smaller than the sum of its proper divisors (169044551732).

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

102212022220 is a wasteful number, since it uses less digits than its factorization.

102212022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102212022220 its reverse (22220212201), we get a palindrome (124432234421).

The spelling of 102212022220 in words is "one hundred two billion, two hundred twelve million, twenty-two thousand, two hundred twenty".