2122104103020 has 192 divisors, whose sum is σ = 7230992186880. Its totient is φ = 512399520000.

The previous prime is 2122104102997. The next prime is 2122104103087. The reversal of 2122104103020 is 203014012212.

It is a happy number.

2122104103020 is a `hidden beast` number, since 2 + 1 + 221 + 0 + 410 + 30 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122104102984 and 2122104103002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779274 + ... + 2202606.

It is an arithmetic number, because the mean of its divisors is an integer number (37661417640).

Almost surely, 2^{2122104103020} is an apocalyptic number.

2122104103020 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 2122104103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615496093440).

2122104103020 is an abundant number, since it is smaller than the sum of its proper divisors (5108888083860).

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

2122104103020 is a wasteful number, since it uses less digits than its factorization.

2122104103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423613 (or 1423605 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2122104103020 its reverse (203014012212), we get a palindrome (2325118115232).

The spelling of 2122104103020 in words is "two trillion, one hundred twenty-two billion, one hundred four million, one hundred three thousand, twenty".