10200002122020 has 96 divisors (see below), whose sum is σ = 28847617981056. Its totient is φ = 2692617984000.

The previous prime is 10200002121983. The next prime is 10200002122021. The reversal of 10200002122020 is 2022120000201.

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 = 10200002121987 and 10200002122005.

It is not an unprimeable number, because it can be changed into a prime (10200002122021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36773292 + ... + 37049628.

It is an arithmetic number, because the mean of its divisors is an integer number (300496020636).

Almost surely, 2^{10200002122020} is an apocalyptic number.

10200002122020 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 10200002122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423808990528).

10200002122020 is an abundant number, since it is smaller than the sum of its proper divisors (18647615859036).

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

10200002122020 is a wasteful number, since it uses less digits than its factorization.

10200002122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282541 (or 282539 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10200002122020 its reverse (2022120000201), we get a palindrome (12222122122221).

The spelling of 10200002122020 in words is "ten trillion, two hundred billion, two million, one hundred twenty-two thousand, twenty".