102122010210220 has 192 divisors, whose sum is σ = 288069949440000. Its totient is φ = 29368621578240.

The previous prime is 102122010210151. The next prime is 102122010210223. The reversal of 102122010210220 is 22012010221201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102122010210194 and 102122010210203.

It is not an unprimeable number, because it can be changed into a prime (102122010210223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43685656 + ... + 45963904.

It is an arithmetic number, because the mean of its divisors is an integer number (1500364320000).

Almost surely, 2^{102122010210220} is an apocalyptic number.

102122010210220 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 102122010210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144034974720000).

102122010210220 is an abundant number, since it is smaller than the sum of its proper divisors (185947939229780).

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

102122010210220 is a wasteful number, since it uses less digits than its factorization.

102122010210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280528 (or 2280526 counting only the distinct ones).

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

Adding to 102122010210220 its reverse (22012010221201), we get a palindrome (124134020431421).

The spelling of 102122010210220 in words is "one hundred two trillion, one hundred twenty-two billion, ten million, two hundred ten thousand, two hundred twenty".