10011200202010 has 256 divisors, whose sum is σ = 23294656512000. Its totient is φ = 3015171993600.

The previous prime is 10011200201983. The next prime is 10011200202011. The reversal of 10011200202010 is 1020200211001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10011200202011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 855579160 + ... + 855590860.

It is an arithmetic number, because the mean of its divisors is an integer number (90994752000).

Almost surely, 2^{10011200202010} is an apocalyptic number.

10011200202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011200202010 is an abundant number, since it is smaller than the sum of its proper divisors (13283456309990).

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

10011200202010 is a wasteful number, since it uses less digits than its factorization.

10011200202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10011200202010 its reverse (1020200211001), we get a palindrome (11031400413011).

The spelling of 10011200202010 in words is "ten trillion, eleven billion, two hundred million, two hundred two thousand, ten".