12100122010020 has 192 divisors, whose sum is σ = 37384039268352. Its totient is φ = 2899903104000.

The previous prime is 12100122010003. The next prime is 12100122010033. The reversal of 12100122010020 is 2001022100121.

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 = 12100122009978 and 12100122010005.

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, 23296555 + ... + 23810285.

It is an arithmetic number, because the mean of its divisors is an integer number (194708537856).

Almost surely, 2^{12100122010020} is an apocalyptic number.

12100122010020 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 12100122010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692019634176).

12100122010020 is an abundant number, since it is smaller than the sum of its proper divisors (25283917258332).

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

12100122010020 is a wasteful number, since it uses less digits than its factorization.

12100122010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514162 (or 514160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100122010020 its reverse (2001022100121), we get a palindrome (14101144110141).

The spelling of 12100122010020 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, ten thousand, twenty".