2122100000020 has 96 divisors (see below), whose sum is σ = 5983431664896. Its totient is φ = 610554240000.

The previous prime is 2122100000011. The next prime is 2122100000081. The reversal of 2122100000020 is 200000012212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2122099999952 and 2122100000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52979481 + ... + 53019520.

It is an arithmetic number, because the mean of its divisors is an integer number (62327413176).

Almost surely, 2^{2122100000020} is an apocalyptic number.

2122100000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122100000020 is an abundant number, since it is smaller than the sum of its proper divisors (3861331664876).

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

2122100000020 is a wasteful number, since it uses less digits than its factorization.

2122100000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105999041 (or 105999039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2122100000020 its reverse (200000012212), we get a palindrome (2322100012232).

The spelling of 2122100000020 in words is "two trillion, one hundred twenty-two billion, one hundred million, twenty", and thus it is an aban number.