122102112010020 has 192 divisors, whose sum is σ = 362923146432000. Its totient is φ = 30566846177280.

The previous prime is 122102112009959. The next prime is 122102112010049. The reversal of 122102112010020 is 20010211201221.

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

It is an unprimeable number.

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, 2661951646 + ... + 2661997514.

It is an arithmetic number, because the mean of its divisors is an integer number (1890224721000).

Almost surely, 2^{122102112010020} is an apocalyptic number.

122102112010020 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 122102112010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181461573216000).

122102112010020 is an abundant number, since it is smaller than the sum of its proper divisors (240821034421980).

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

122102112010020 is a wasteful number, since it uses less digits than its factorization.

122102112010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52518 (or 52516 counting only the distinct ones).

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

Adding to 122102112010020 its reverse (20010211201221), we get a palindrome (142112323211241).

The spelling of 122102112010020 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twelve million, ten thousand, twenty".