20100122020020 has 192 divisors, whose sum is σ = 65958392586240. Its totient is φ = 4477775081472.

The previous prime is 20100122020003. The next prime is 20100122020039. The reversal of 20100122020020 is 2002022100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20100122019978 and 20100122020005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7159876 + ... + 9563684.

It is an arithmetic number, because the mean of its divisors is an integer number (343533294720).

Almost surely, 2^{20100122020020} is an apocalyptic number.

20100122020020 is a gapful number since it is divisible by the number (20) 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 20100122020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32979196293120).

20100122020020 is an abundant number, since it is smaller than the sum of its proper divisors (45858270566220).

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

20100122020020 is a wasteful number, since it uses less digits than its factorization.

20100122020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404334 (or 2404332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20100122020020 its reverse (2002022100102), we get a palindrome (22102144120122).

The spelling of 20100122020020 in words is "twenty trillion, one hundred billion, one hundred twenty-two million, twenty thousand, twenty".