122102102020200 has 192 divisors, whose sum is σ = 382425466328640. Its totient is φ = 32225150791680.

The previous prime is 122102102020153. The next prime is 122102102020229. The reversal of 122102102020200 is 2020201201221.

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 122102102020200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44989014 + ... + 47625786.

It is an arithmetic number, because the mean of its divisors is an integer number (1991799303795).

Almost surely, 2^{122102102020200} is an apocalyptic number.

122102102020200 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 122102102020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191212733164320).

122102102020200 is an abundant number, since it is smaller than the sum of its proper divisors (260323364308440).

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

122102102020200 is a wasteful number, since it uses less digits than its factorization.

122102102020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637588 (or 2637579 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122102102020200 its reverse (2020201201221), we get a palindrome (124122303221421).

The spelling of 122102102020200 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred two million, twenty thousand, two hundred".