2122102002020 has 288 divisors, whose sum is σ = 6037931725056. Its totient is φ = 608361062400.

The previous prime is 2122102002001. The next prime is 2122102002029. The reversal of 2122102002020 is 202002012212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2122102001986 and 2122102002004.

It is not an unprimeable number, because it can be changed into a prime (2122102002029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73118552 + ... + 73147568.

It is an arithmetic number, because the mean of its divisors is an integer number (20965040712).

Almost surely, 2^{2122102002020} is an apocalyptic number.

2122102002020 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 2122102002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018965862528).

2122102002020 is an abundant number, since it is smaller than the sum of its proper divisors (3915829723036).

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

2122102002020 is a wasteful number, since it uses less digits than its factorization.

2122102002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29351 (or 29336 counting only the distinct ones).

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

Adding to 2122102002020 its reverse (202002012212), we get a palindrome (2324104014232).

The spelling of 2122102002020 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two thousand, twenty".