122020101102012 has 288 divisors, whose sum is σ = 304499219092992. Its totient is φ = 38017433591808.

The previous prime is 122020101101999. The next prime is 122020101102041. The reversal of 122020101102012 is 210201101020221.

It is a junction number, because it is equal to n+sod(n) for n = 122020101101982 and 122020101102000.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 42119467348 + ... + 42119470244.

It is an arithmetic number, because the mean of its divisors is an integer number (1057288955184).

Almost surely, 2^{122020101102012} is an apocalyptic number.

122020101102012 is a gapful number since it is divisible by the number (12) 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 122020101102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152249609546496).

122020101102012 is an abundant number, since it is smaller than the sum of its proper divisors (182479117990980).

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

122020101102012 is a wasteful number, since it uses less digits than its factorization.

122020101102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3752 counting only the distinct ones).

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

Adding to 122020101102012 its reverse (210201101020221), we get a palindrome (332221202122233).

The spelling of 122020101102012 in words is "one hundred twenty-two trillion, twenty billion, one hundred one million, one hundred two thousand, twelve".