12122102100020 has 192 divisors, whose sum is σ = 28401659596800. Its totient is φ = 4309187351040.

The previous prime is 12122102100019. The next prime is 12122102100029. The reversal of 12122102100020 is 2000120122121.

It is a super-3 number, since 3×12122102100020³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122102099968 and 12122102100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122102100029) 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, 762052907 + ... + 762068813.

It is an arithmetic number, because the mean of its divisors is an integer number (147925310400).

Almost surely, 2^{12122102100020} is an apocalyptic number.

12122102100020 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 12122102100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200829798400).

12122102100020 is an abundant number, since it is smaller than the sum of its proper divisors (16279557496780).

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

12122102100020 is a wasteful number, since it uses less digits than its factorization.

12122102100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16438 (or 16436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122102100020 its reverse (2000120122121), we get a palindrome (14122222222141).

The spelling of 12122102100020 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred thousand, twenty".