122010102201120 has 768 divisors, whose sum is σ = 482281538199552. Its totient is φ = 25290169712640.

The previous prime is 122010102201047. The next prime is 122010102201121. The reversal of 122010102201120 is 21102201010221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122010102201120.

It is not an unprimeable number, because it can be changed into a prime (122010102201121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217404075 + ... + 217964565.

It is an arithmetic number, because the mean of its divisors is an integer number (627970752864).

Almost surely, 2^{122010102201120} is an apocalyptic number.

122010102201120 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 122010102201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241140769099776).

122010102201120 is an abundant number, since it is smaller than the sum of its proper divisors (360271435998432).

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

122010102201120 is a wasteful number, since it uses less digits than its factorization.

122010102201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560673 (or 560665 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122010102201120 its reverse (21102201010221), we get a palindrome (143112303211341).

The spelling of 122010102201120 in words is "one hundred twenty-two trillion, ten billion, one hundred two million, two hundred one thousand, one hundred twenty".