10002120880050 has 72 divisors (see below), whose sum is σ = 28939469763204. Its totient is φ = 2462060522880.

The previous prime is 10002120880049. The next prime is 10002120880069. The reversal of 10002120880050 is 5008802120001.

It can be written as a sum of positive squares in 6 ways, for example, as 689070990609 + 9313049889441 = 830103^2 + 3051729^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10002120879996 and 10002120880023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 854876277 + ... + 854887976.

Almost surely, 2^{10002120880050} is an apocalyptic number.

10002120880050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002120880050 is an abundant number, since it is smaller than the sum of its proper divisors (18937348883154).

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

10002120880050 is a wasteful number, since it uses less digits than its factorization.

10002120880050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709764284 (or 1709764276 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10002120880050 in words is "ten trillion, two billion, one hundred twenty million, eight hundred eighty thousand, fifty".