2100022122020 has 192 divisors, whose sum is σ = 4785696276480. Its totient is φ = 771228057600.

The previous prime is 2100022121983. The next prime is 2100022122091. The reversal of 2100022122020 is 202212200012.

It is a junction number, because it is equal to n+sod(n) for n = 2100022121986 and 2100022122004.

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, 734015390 + ... + 734018250.

It is an arithmetic number, because the mean of its divisors is an integer number (24925501440).

Almost surely, 2^{2100022122020} is an apocalyptic number.

2100022122020 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 2100022122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392848138240).

2100022122020 is an abundant number, since it is smaller than the sum of its proper divisors (2685674154460).

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

2100022122020 is a wasteful number, since it uses less digits than its factorization.

2100022122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2100022122020 its reverse (202212200012), we get a palindrome (2302234322032).

The spelling of 2100022122020 in words is "two trillion, one hundred billion, twenty-two million, one hundred twenty-two thousand, twenty".